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3925774336 = 212112892
BaseRepresentation
bin1110100111111110…
…1001000000000000
3101010121000222222111
43221333221000000
531014444234321
61445314545104
7166166350141
oct35177510000
911117028874
103925774336
111734aa7400
12916898194
134a74336c3
14293551ac8
1517e9b25e1
hexe9fe9000

3925774336 has 117 divisors (see below), whose sum is σ = 8727207433. Its totient is φ = 1764392960.

The previous prime is 3925774331. The next prime is 3925774337. The reversal of 3925774336 is 6334775293.

The square root of 3925774336 is 62656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 753831936 + 3171942400 = 27456^2 + 56320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3925774336.

It is not an unprimeable number, because it can be changed into a prime (3925774331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44109780 + ... + 44109868.

Almost surely, 23925774336 is an apocalyptic number.

3925774336 is the 62656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3925774336

3925774336 is an abundant number, since it is smaller than the sum of its proper divisors (4801433097).

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

3925774336 is an frugal number, since it uses more digits than its factorization.

3925774336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 102 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 49.

The cubic root of 3925774336 is about 1577.5208591755.

Multiplying 3925774336 by its sum of digits (49), we get a square (192362942464 = 4385922).

The spelling of 3925774336 in words is "three billion, nine hundred twenty-five million, seven hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 121 128 176 178 242 256 352 356 484 512 704 712 968 979 1024 1408 1424 1936 1958 2048 2816 2848 3872 3916 4096 5632 5696 7744 7832 7921 10769 11264 11392 15488 15664 15842 21538 22528 22784 30976 31328 31684 43076 45056 45568 61952 62656 63368 86152 87131 91136 123904 125312 126736 172304 174262 182272 247808 250624 253472 344608 348524 364544 495616 501248 506944 689216 697048 958441 1002496 1013888 1378432 1394096 1916882 2004992 2027776 2756864 2788192 3833764 4009984 4055552 5513728 5576384 7667528 8111104 11027456 11152768 15335056 16222208 22054912 22305536 30670112 32444416 44109824 44611072 61340224 89222144 122680448 178444288 245360896 356888576 490721792 981443584 1962887168 3925774336