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4401248880 = 243572699739
BaseRepresentation
bin1000001100101010…
…11011101001110000
3102100201201121102210
410012111123221300
533003204431010
62004422012120
7214031666250
oct40625335160
912321647383
104401248880
111959432476
12a29b77040
13551aac5a2
142da761960
151ab5d3b20
hex10655ba70

4401248880 has 160 divisors (see below), whose sum is σ = 15652569600. Its totient is φ = 1002157056.

The previous prime is 4401248861. The next prime is 4401248893. The reversal of 4401248880 is 888421044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447051 + ... + 456789.

It is an arithmetic number, because the mean of its divisors is an integer number (97828560).

Almost surely, 24401248880 is an apocalyptic number.

4401248880 is a gapful number since it is divisible by the number (40) 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 4401248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826284800).

4401248880 is an abundant number, since it is smaller than the sum of its proper divisors (11251320720).

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

4401248880 is a wasteful number, since it uses less digits than its factorization.

4401248880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10031 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 4401248880 is about 66341.9089264094. The cubic root of 4401248880 is about 1638.7975619821.

The spelling of 4401248880 in words is "four billion, four hundred one million, two hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 269 280 336 420 538 560 807 840 1076 1345 1614 1680 1883 2152 2690 3228 3766 4035 4304 5380 5649 6456 7532 8070 9415 9739 10760 11298 12912 15064 16140 18830 19478 21520 22596 28245 29217 30128 32280 37660 38956 45192 48695 56490 58434 64560 68173 75320 77912 90384 97390 112980 116868 136346 146085 150640 155824 194780 204519 225960 233736 272692 292170 340865 389560 409038 451920 467472 545384 584340 681730 779120 818076 1022595 1090768 1168680 1363460 1636152 2045190 2337360 2619791 2726920 3272304 4090380 5239582 5453840 7859373 8180760 10479164 13098955 15718746 16361520 18338537 20958328 26197910 31437492 36677074 39296865 41916656 52395820 55015611 62874984 73354148 78593730 91692685 104791640 110031222 125749968 146708296 157187460 183385370 209583280 220062444 275078055 293416592 314374920 366770740 440124888 550156110 628749840 733541480 880249776 1100312220 1467082960 2200624440 4401248880