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3992474256 = 2431967223293
BaseRepresentation
bin1110110111111000…
…0101001010010000
3101022020112201001220
43231332011022100
531134033134011
61500100325040
7200636320431
oct35576051220
911266481056
103992474256
111769714001
129350a3780
134b81b8104
1429c355488
1518578a506
hexedf85290

3992474256 has 160 divisors (see below), whose sum is σ = 11105955840. Its totient is φ = 1232174592.

The previous prime is 3992474231. The next prime is 3992474279. The reversal of 3992474256 is 6524742993.

3992474256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3992474199 and 3992474208.

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, 13626046 + ... + 13626338.

It is an arithmetic number, because the mean of its divisors is an integer number (69412224).

Almost surely, 23992474256 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 3992474256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552977920).

3992474256 is an abundant number, since it is smaller than the sum of its proper divisors (7113481584).

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

3992474256 is a wasteful number, since it uses less digits than its factorization.

3992474256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The square root of 3992474256 is about 63186.0289621052. The cubic root of 3992474256 is about 1586.4048958102.

The spelling of 3992474256 in words is "three billion, nine hundred ninety-two million, four hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 223 228 268 293 304 402 446 456 536 586 669 804 879 892 912 1072 1172 1273 1338 1608 1758 1784 2344 2546 2676 3216 3516 3568 3819 4237 4688 5092 5352 5567 7032 7638 8474 10184 10704 11134 12711 14064 14941 15276 16701 16948 19631 20368 22268 25422 29882 30552 33402 33896 39262 44536 44823 50844 58893 59764 61104 65339 66804 67792 78524 89072 89646 101688 117786 119528 130678 133608 157048 179292 196017 203376 235572 239056 261356 267216 283879 314096 358584 372989 392034 471144 522712 567758 717168 745978 784068 851637 942288 1045424 1118967 1135516 1241441 1491956 1568136 1703274 2237934 2271032 2482882 2983912 3136272 3406548 3724323 4377713 4475868 4542064 4965764 5967824 6813096 7448646 8755426 8951736 9931528 13133139 13626192 14897292 17510852 17903472 19863056 26266278 29794584 35021704 52532556 59589168 70043408 83176547 105065112 166353094 210130224 249529641 332706188 499059282 665412376 998118564 1330824752 1996237128 3992474256