Search a number
-
+
557475504 = 243192112897
BaseRepresentation
bin100001001110100…
…110011010110000
31102211222200121220
4201032212122300
52120203204004
6131152345040
716546315005
oct4116463260
91384880556
10557475504
11266753663
12136845180
138b659c81
14540778ac
1533e1cdd9
hex213a66b0

557475504 has 80 divisors (see below), whose sum is σ = 1523652480. Its totient is φ = 175150080.

The previous prime is 557475493. The next prime is 557475533. The reversal of 557475504 is 405574755.

It is a happy number.

It is an unprimeable number.

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, 190984 + ... + 193880.

It is an arithmetic number, because the mean of its divisors is an integer number (19045656).

Almost surely, 2557475504 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 557475504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761826240).

557475504 is an abundant number, since it is smaller than the sum of its proper divisors (966176976).

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

557475504 is a wasteful number, since it uses less digits than its factorization.

557475504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 42.

The square root of 557475504 is about 23610.9191688930. The cubic root of 557475504 is about 823.0166026256.

The spelling of 557475504 in words is "five hundred fifty-seven million, four hundred seventy-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 211 228 304 422 456 633 844 912 1266 1688 2532 2897 3376 4009 5064 5794 8018 8691 10128 11588 12027 16036 17382 23176 24054 32072 34764 46352 48108 55043 64144 69528 96216 110086 139056 165129 192432 220172 330258 440344 611267 660516 880688 1222534 1321032 1833801 2445068 2642064 3667602 4890136 7335204 9780272 11614073 14670408 23228146 29340816 34842219 46456292 69684438 92912584 139368876 185825168 278737752 557475504