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57353406 = 23111376343
BaseRepresentation
bin1101101011001…
…0010010111110
310222220212002020
43122302102332
5104140302111
65405141010
71264332045
oct332622276
9128825066
1057353406
112a413510
121725a766
13bb61436
14788d55c
15507d906
hex36b24be

57353406 has 32 divisors (see below), whose sum is σ = 126067968. Its totient is φ = 17250240.

The previous prime is 57353389. The next prime is 57353411. The reversal of 57353406 is 60435375.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5871 + ... + 12213.

It is an arithmetic number, because the mean of its divisors is an integer number (3939624).

Almost surely, 257353406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57353406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63033984).

57353406 is an abundant number, since it is smaller than the sum of its proper divisors (68714562).

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

57353406 is a wasteful number, since it uses less digits than its factorization.

57353406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496.

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 57353406 is about 7573.2031532239. The cubic root of 57353406 is about 385.6438453770.

The spelling of 57353406 in words is "fifty-seven million, three hundred fifty-three thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 66 137 274 411 822 1507 3014 4521 6343 9042 12686 19029 38058 69773 139546 209319 418638 868991 1737982 2606973 5213946 9558901 19117802 28676703 57353406