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557307712 = 26136179139
BaseRepresentation
bin100001001101111…
…101011101000000
31102211200011110101
4201031331131000
52120132321322
6131145012144
716545015553
oct4115753500
91384604411
10557307712
11266649595
12136784054
138b5cb7a0
145403269a
1533dd8327
hex2137d740

557307712 has 112 divisors (see below), whose sum is σ = 1234643200. Its totient is φ = 248002560.

The previous prime is 557307701. The next prime is 557307713. The reversal of 557307712 is 217703755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557307713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009339 + ... + 4009477.

It is an arithmetic number, because the mean of its divisors is an integer number (11023600).

Almost surely, 2557307712 is an apocalyptic number.

557307712 is a gapful number since it is divisible by the number (52) 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 557307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617321600).

557307712 is an abundant number, since it is smaller than the sum of its proper divisors (677335488).

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

557307712 is a wasteful number, since it uses less digits than its factorization.

557307712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 37.

The square root of 557307712 is about 23607.3656302435. The cubic root of 557307712 is about 822.9340223400.

The spelling of 557307712 in words is "five hundred fifty-seven million, three hundred seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 79 104 122 139 158 208 244 278 316 416 488 556 632 793 832 976 1027 1112 1264 1586 1807 1952 2054 2224 2528 3172 3614 3904 4108 4448 4819 5056 6344 7228 8216 8479 8896 9638 10981 12688 14456 16432 16958 19276 21962 25376 28912 32864 33916 38552 43924 50752 57824 62647 65728 67832 77104 87848 110227 115648 125294 135664 142753 154208 175696 220454 250588 271328 285506 308416 351392 440908 501176 542656 571012 669841 702784 881816 1002352 1142024 1339682 1763632 2004704 2284048 2679364 3527264 4009408 4568096 5358728 7054528 8707933 9136192 10717456 17415866 21434912 34831732 42869824 69663464 139326928 278653856 557307712