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57605076 = 22321600141
BaseRepresentation
bin1101101110111…
…1101111010100
311000101122022100
43123233233110
5104221330301
65414402100
71266430554
oct333575724
9130348270
1057605076
112a575601
1217360330
13bc1bb59
147917164
1550cd286
hex36efbd4

57605076 has 18 divisors (see below), whose sum is σ = 145612922. Its totient is φ = 19201680.

The previous prime is 57605029. The next prime is 57605077. The reversal of 57605076 is 67050675.

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 6625476 = 7140^2 + 2574^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1600141 = 57605076 / (5 + 7 + 6 + 0 + 5 + 0 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 57605076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57605077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 800035 + ... + 800106.

Almost surely, 257605076 is an apocalyptic number.

It is an amenable number.

57605076 is an abundant number, since it is smaller than the sum of its proper divisors (88007846).

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

57605076 is a wasteful number, since it uses less digits than its factorization.

57605076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600151 (or 1600146 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 57605076 is about 7589.8007878995. The cubic root of 57605076 is about 386.2070980093.

The spelling of 57605076 in words is "fifty-seven million, six hundred five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 1600141 3200282 4800423 6400564 9600846 14401269 19201692 28802538 57605076