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57502720 = 2105111021
BaseRepresentation
bin1101101101011…
…0110000000000
311000012102220101
43123112300000
5104210041340
65412252144
71265523262
oct333266000
9130172811
1057502720
112a505710
1217311054
13bbb43a2
1478cbb32
1550acc9a
hex36d6c00

57502720 has 88 divisors (see below), whose sum is σ = 150626448. Its totient is φ = 20889600.

The previous prime is 57502703. The next prime is 57502733. The reversal of 57502720 is 2720575.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55810 + ... + 56830.

Almost surely, 257502720 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 57502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75313224).

57502720 is an abundant number, since it is smaller than the sum of its proper divisors (93123728).

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

57502720 is a wasteful number, since it uses less digits than its factorization.

57502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 57502720 is about 7583.0547934193. The cubic root of 57502720 is about 385.9782174254.

The spelling of 57502720 in words is "fifty-seven million, five hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1021 1024 1280 1408 1760 2042 2560 2816 3520 4084 5105 5120 5632 7040 8168 10210 11231 11264 14080 16336 20420 22462 28160 32672 40840 44924 56155 56320 65344 81680 89848 112310 130688 163360 179696 224620 261376 326720 359392 449240 522752 653440 718784 898480 1045504 1306880 1437568 1796960 2613760 2875136 3593920 5227520 5750272 7187840 11500544 14375680 28751360 57502720