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57053480 = 235111271021
BaseRepresentation
bin1101100110100…
…1000100101000
310222100121122212
43121221010220
5104101202410
65354504252
71261642451
oct331510450
9128317585
1057053480
112a229140
1217135088
13ba87a73
147812128
15501eb05
hex3669128

57053480 has 64 divisors (see below), whose sum is σ = 141281280. Its totient is φ = 20563200.

The previous prime is 57053471. The next prime is 57053489. The reversal of 57053480 is 8435075.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57053471) and next prime (57053489).

It is a super-2 number, since 2×570534802 = 6510199160220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57053489) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55370 + ... + 56390.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 257053480 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 57053480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70640640).

57053480 is an abundant number, since it is smaller than the sum of its proper divisors (84227800).

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

57053480 is a wasteful number, since it uses less digits than its factorization.

57053480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 57053480 is about 7553.3754044136. The cubic root of 57053480 is about 384.9704368147.

The spelling of 57053480 in words is "fifty-seven million, fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1021 1270 1397 2042 2540 2794 4084 5080 5105 5588 6985 8168 10210 11176 11231 13970 20420 22462 27940 40840 44924 55880 56155 89848 112310 129667 224620 259334 449240 518668 648335 1037336 1296670 1426337 2593340 2852674 5186680 5705348 7131685 11410696 14263370 28526740 57053480