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556742928 = 243717293361
BaseRepresentation
bin100001001011110…
…011100100010000
31102210121110201110
4201023303210100
52120011233203
6131124533320
716540144140
oct4113634420
91383543643
10556742928
112662a3225
12136551240
138b4616b1
1453d26920
1533d25d03
hex212f3910

556742928 has 160 divisors (see below), whose sum is σ = 1800956160. Its totient is φ = 144506880.

The previous prime is 556742917. The next prime is 556742951. The reversal of 556742928 is 829247655.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163968 + ... + 167328.

It is an arithmetic number, because the mean of its divisors is an integer number (11255976).

Almost surely, 2556742928 is an apocalyptic number.

556742928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556742928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900478080).

556742928 is an abundant number, since it is smaller than the sum of its proper divisors (1244213232).

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

556742928 is a wasteful number, since it uses less digits than its factorization.

556742928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3419 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 556742928 is about 23595.4005687549. The cubic root of 556742928 is about 822.6559371504.

The spelling of 556742928 in words is "five hundred fifty-six million, seven hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 34 42 48 51 56 58 68 84 87 102 112 116 119 136 168 174 203 204 232 238 272 336 348 357 406 408 464 476 493 609 696 714 812 816 952 986 1218 1392 1428 1479 1624 1904 1972 2436 2856 2958 3248 3361 3451 3944 4872 5712 5916 6722 6902 7888 9744 10083 10353 11832 13444 13804 20166 20706 23527 23664 26888 27608 40332 41412 47054 53776 55216 57137 70581 80664 82824 94108 97469 114274 141162 161328 165648 171411 188216 194938 228548 282324 292407 342822 376432 389876 399959 457096 564648 584814 682283 685644 779752 799918 914192 1129296 1169628 1199877 1364566 1371288 1559504 1599836 1656973 2046849 2339256 2399754 2729132 2742576 3199672 3313946 4093698 4678512 4799508 4970919 5458264 6399344 6627892 8187396 9599016 9941838 10916528 11598811 13255784 16374792 19198032 19883676 23197622 26511568 32749584 34796433 39767352 46395244 69592866 79534704 92790488 139185732 185580976 278371464 556742928