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4240402056 = 23331110317327
BaseRepresentation
bin1111110010111111…
…0110011010001000
3101221112001202002000
43330233312122020
532141020331211
61540434311000
7210036552132
oct37457663210
911845052060
104240402056
111886661910
129a4128460
13527683557
142c3252052
1519c410656
hexfcbf6688

4240402056 has 128 divisors (see below), whose sum is σ = 12975206400. Its totient is φ = 1272421440.

The previous prime is 4240402031. The next prime is 4240402073. The reversal of 4240402056 is 6502040424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236065 + ... + 253391.

It is an arithmetic number, because the mean of its divisors is an integer number (101368800).

Almost surely, 24240402056 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 4240402056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487603200).

4240402056 is an abundant number, since it is smaller than the sum of its proper divisors (8734804344).

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

4240402056 is a wasteful number, since it uses less digits than its factorization.

4240402056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17456 (or 17446 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4240402056 is about 65118.3695741839. The cubic root of 4240402056 is about 1618.5856242188.

The spelling of 4240402056 in words is "four billion, two hundred forty million, four hundred two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 103 108 132 198 206 216 264 297 309 396 412 594 618 792 824 927 1133 1188 1236 1854 2266 2376 2472 2781 3399 3708 4532 5562 6798 7416 9064 10197 11124 13596 17327 20394 22248 27192 30591 34654 40788 51981 61182 69308 81576 103962 122364 138616 155943 190597 207924 244728 311886 381194 415848 467829 571791 623772 762388 935658 1143582 1247544 1524776 1715373 1784681 1871316 2287164 3430746 3569362 3742632 4574328 5146119 5354043 6861492 7138724 10292238 10708086 13722984 14277448 16062129 19631491 20584476 21416172 32124258 39262982 41168952 42832344 48186387 58894473 64248516 78525964 96372774 117788946 128497032 157051928 176683419 192745548 235577892 353366838 385491096 471155784 530050257 706733676 1060100514 1413467352 2120201028 4240402056