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4242573504 = 263313188861
BaseRepresentation
bin1111110011100000…
…1000100011000000
3101221200011001202000
43330320020203000
532142044323004
61540553024000
7210064164651
oct37470104300
911850131660
104242573504
1118879052a4
129a49b5000
13527c63a30
142c3659528
1519c6ddc39
hexfce088c0

4242573504 has 112 divisors (see below), whose sum is σ = 13431865440. Its totient is φ = 1305400320.

The previous prime is 4242573497. The next prime is 4242573509. The reversal of 4242573504 is 4053752424.

4242573504 is a `hidden beast` number, since 42 + 42 + 5 + 73 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4242573509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71967 + ... + 116894.

It is an arithmetic number, because the mean of its divisors is an integer number (119927370).

Almost surely, 24242573504 is an apocalyptic number.

It is an amenable number.

4242573504 is an abundant number, since it is smaller than the sum of its proper divisors (9189291936).

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

4242573504 is a wasteful number, since it uses less digits than its factorization.

4242573504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188895 (or 188879 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 4242573504 is about 65135.0405235155. The cubic root of 4242573504 is about 1618.8618617629.

The spelling of 4242573504 in words is "four billion, two hundred forty-two million, five hundred seventy-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 188861 377722 566583 755444 1133166 1510888 1699749 2266332 2455193 3021776 3399498 4532664 4910386 5099247 6043552 6798996 7365579 9065328 9820772 10198494 12087104 13597992 14731158 18130656 19641544 20396988 22096737 27195984 29462316 36261312 39283088 40793976 44193474 54391968 58924632 66290211 78566176 81587952 88386948 108783936 117849264 132580422 157132352 163175904 176773896 235698528 265160844 326351808 353547792 471397056 530321688 707095584 1060643376 1414191168 2121286752 4242573504