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57774668 = 22719131829
BaseRepresentation
bin1101110001100…
…1001001001100
311000201020221112
43130121021030
5104242242133
65422151152
71301035160
oct334311114
9130636845
1057774668
112a680a66
12174224b8
13bc7b0c3
14795cca0
155113648
hex371924c

57774668 has 48 divisors (see below), whose sum is σ = 122707200. Its totient is φ = 23250240.

The previous prime is 57774667. The next prime is 57774677. The reversal of 57774668 is 86647775.

It is not an unprimeable number, because it can be changed into a prime (57774667) 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, 69278 + ... + 70106.

It is an arithmetic number, because the mean of its divisors is an integer number (2556400).

Almost surely, 257774668 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 57774668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61353600).

57774668 is an abundant number, since it is smaller than the sum of its proper divisors (64932532).

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

57774668 is a wasteful number, since it uses less digits than its factorization.

57774668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 988 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 50.

The square root of 57774668 is about 7600.9649387430. The cubic root of 57774668 is about 386.5857305166.

The spelling of 57774668 in words is "fifty-seven million, seven hundred seventy-four thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 131 133 262 266 524 532 829 917 1658 1834 2489 3316 3668 4978 5803 9956 11606 15751 17423 23212 31502 34846 63004 69692 108599 110257 217198 220514 434396 441028 760193 1520386 2063381 3040772 4126762 8253524 14443667 28887334 57774668