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57040434 = 23211319293
BaseRepresentation
bin1101100110010…
…1111000110010
310222022221202200
43121211320302
5104100243214
65354324030
71261556433
oct331457062
9128287680
1057040434
112a21a360
1217129616
13ba81b49
14780b48a
15501ad09
hex3665e32

57040434 has 48 divisors (see below), whose sum is σ = 139186944. Its totient is φ = 16725600.

The previous prime is 57040411. The next prime is 57040439. The reversal of 57040434 is 43404075.

It is a super-2 number, since 2×570404342 = 6507222221816712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57040398 and 57040407.

It is not an unprimeable number, because it can be changed into a prime (57040439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1492 + ... + 10784.

It is an arithmetic number, because the mean of its divisors is an integer number (2899728).

Almost surely, 257040434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57040434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69593472).

57040434 is an abundant number, since it is smaller than the sum of its proper divisors (82146510).

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

57040434 is a wasteful number, since it uses less digits than its factorization.

57040434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 57040434 is about 7552.5117676174. The cubic root of 57040434 is about 384.9410917910.

The spelling of 57040434 in words is "fifty-seven million, forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 9293 18586 27879 55758 83637 102223 167274 204446 288083 306669 576166 613338 864249 920007 1728498 1840014 2592747 3168913 5185494 6337826 9506739 19013478 28520217 57040434