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3939944880 = 2435197910937
BaseRepresentation
bin1110101011010110…
…1100100110110000
3101011120200221022110
43222311230212300
531032111214010
61450542405320
7166430656524
oct35265544660
911146627273
103939944880
111741aa59a3
1291b590840
134aa355641
1429539dd84
15180d61120
hexead6c9b0

3939944880 has 160 divisors (see below), whose sum is σ = 13020595200. Its totient is φ = 982665216.

The previous prime is 3939944797. The next prime is 3939944881. The reversal of 3939944880 is 884499393.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 3939944880.

It is not an unprimeable number, because it can be changed into a prime (3939944881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354772 + ... + 365708.

It is an arithmetic number, because the mean of its divisors is an integer number (81378720).

Almost surely, 23939944880 is an apocalyptic number.

3939944880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3939944880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510297600).

3939944880 is an abundant number, since it is smaller than the sum of its proper divisors (9080650320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3939944880 is a wasteful number, since it uses less digits than its factorization.

3939944880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051 (or 11045 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The square root of 3939944880 is about 62768.9802370566. The cubic root of 3939944880 is about 1579.4166622947.

The spelling of 3939944880 in words is "three billion, nine hundred thirty-nine million, nine hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 79 80 95 114 120 152 158 190 228 237 240 285 304 316 380 395 456 474 570 632 760 790 912 948 1140 1185 1264 1501 1520 1580 1896 2280 2370 3002 3160 3792 4503 4560 4740 6004 6320 7505 9006 9480 10937 12008 15010 18012 18960 21874 22515 24016 30020 32811 36024 43748 45030 54685 60040 65622 72048 87496 90060 109370 120080 131244 164055 174992 180120 207803 218740 262488 328110 360240 415606 437480 524976 623409 656220 831212 864023 874960 1039015 1246818 1312440 1662424 1728046 2078030 2493636 2592069 2624880 3117045 3324848 3456092 4156060 4320115 4987272 5184138 6234090 6912184 8312120 8640230 9974544 10368276 12468180 12960345 13824368 16416437 16624240 17280460 20736552 24936360 25920690 32832874 34560920 41473104 49249311 49872720 51841380 65665748 69121840 82082185 98498622 103682760 131331496 164164370 196997244 207365520 246246555 262662992 328328740 393994488 492493110 656657480 787988976 984986220 1313314960 1969972440 3939944880