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557255034 = 232728115739
BaseRepresentation
bin100001001101110…
…000100101111010
31102211120111012100
4201031300211322
52120124130114
6131143524230
716544406150
oct4115604572
91384514170
10557255034
11266612a56
12136759676
138b5b080b
145401b3d0
1533dc7909
hex2137097a

557255034 has 48 divisors (see below), whose sum is σ = 1384868160. Its totient is φ = 158639040.

The previous prime is 557255033. The next prime is 557255051. The reversal of 557255034 is 430552755.

557255034 is a `hidden beast` number, since 5 + 5 + 72 + 550 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 557255034.

It is not an unprimeable number, because it can be changed into a prime (557255033) 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, 27537 + ... + 43275.

It is an arithmetic number, because the mean of its divisors is an integer number (28851420).

Almost surely, 2557255034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557255034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692434080).

557255034 is an abundant number, since it is smaller than the sum of its proper divisors (827613126).

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

557255034 is a wasteful number, since it uses less digits than its factorization.

557255034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16035 (or 16032 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 557255034 is about 23606.2498927720. The cubic root of 557255034 is about 822.9080929875.

It can be divided in two parts, 5572 and 55034, that added together give a palindrome (60606).

The spelling of 557255034 in words is "five hundred fifty-seven million, two hundred fifty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 281 562 843 1686 1967 2529 3934 5058 5901 11802 15739 17703 31478 35406 47217 94434 110173 141651 220346 283302 330519 661038 991557 1983114 4422659 8845318 13267977 26535954 30958613 39803931 61917226 79607862 92875839 185751678 278627517 557255034