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57477472 = 2513314457
BaseRepresentation
bin1101101101000…
…0100101100000
311000011011021021
43123100211200
5104203234342
65411535224
71265356543
oct333204540
9130134237
1057477472
112a498748
12172ba514
13bba5a50
1478c285a
1550a5567
hex36d0960

57477472 has 48 divisors (see below), whose sum is σ = 125822592. Its totient is φ = 25666560.

The previous prime is 57477457. The next prime is 57477479. The reversal of 57477472 is 27477475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57477479) 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 7 ways as a sum of consecutive naturals, for example, 10668 + ... + 15124.

It is an arithmetic number, because the mean of its divisors is an integer number (2621304).

Almost surely, 257477472 is an apocalyptic number.

57477472 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 57477472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62911296).

57477472 is an abundant number, since it is smaller than the sum of its proper divisors (68345120).

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

57477472 is a wasteful number, since it uses less digits than its factorization.

57477472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4503 counting only the distinct ones).

The product of its digits is 384160, while the sum is 43.

The square root of 57477472 is about 7581.3898461957. The cubic root of 57477472 is about 385.9217180421.

The spelling of 57477472 in words is "fifty-seven million, four hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 4457 6448 8914 12896 17828 35656 57941 71312 115882 138167 142624 231764 276334 463528 552668 927056 1105336 1796171 1854112 2210672 3592342 4421344 7184684 14369368 28738736 57477472