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3939393920 = 27571179939
BaseRepresentation
bin1110101011001110…
…0110000110000000
3101011112122221112112
43222303212012000
531031441101140
61450522514452
7166423203320
oct35263460600
911145587475
103939393920
111741759a60
1291b365a28
134aa1c1927
14295299280
15180ca2c65
hexeace6180

3939393920 has 128 divisors (see below), whose sum is σ = 11741587200. Its totient is φ = 1227847680.

The previous prime is 3939393919. The next prime is 3939393979. The reversal of 3939393920 is 293939393.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9311 + ... + 89249.

It is an arithmetic number, because the mean of its divisors is an integer number (91731150).

Almost surely, 23939393920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3939393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870793600).

3939393920 is an abundant number, since it is smaller than the sum of its proper divisors (7802193280).

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

3939393920 is a wasteful number, since it uses less digits than its factorization.

3939393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79976 (or 79964 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 50.

The square root of 3939393920 is about 62764.5912915873. The cubic root of 3939393920 is about 1579.3430372402.

The spelling of 3939393920 in words is "three billion, nine hundred thirty-nine million, three hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 49280 79939 159878 319756 399695 559573 639512 799390 879329 1119146 1279024 1598780 1758658 2238292 2558048 2797865 3197560 3517316 4396645 4476584 5116096 5595730 6155303 6395120 7034632 8793290 8953168 10232192 11191460 12310606 12790240 14069264 17586580 17906336 22382920 24621212 25580480 28138528 30776515 35173160 35812672 44765840 49242424 51160960 56277056 61553030 70346320 71625344 89531680 98484848 112554112 123106060 140692640 179063360 196969696 246212120 281385280 358126720 393939392 492424240 562770560 787878784 984848480 1969696960 3939393920