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57240144 = 24321330577
BaseRepresentation
bin1101101001011…
…0101001010000
310222201002201100
43122112221100
5104123141034
65402504400
71263350613
oct332265120
9128632640
1057240144
112a346405
1217205100
13bb21a10
14786017a
15505a099
hex3696a50

57240144 has 60 divisors (see below), whose sum is σ = 172521076. Its totient is φ = 17611776.

The previous prime is 57240121. The next prime is 57240191. The reversal of 57240144 is 44104275.

It can be written as a sum of positive squares in 2 ways, for example, as 13838400 + 43401744 = 3720^2 + 6588^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13417 + ... + 17160.

Almost surely, 257240144 is an apocalyptic number.

It is an amenable number.

57240144 is an abundant number, since it is smaller than the sum of its proper divisors (115280932).

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

57240144 is a wasteful number, since it uses less digits than its factorization.

57240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30604 (or 30595 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 57240144 is about 7565.7216443641. The cubic root of 57240144 is about 385.3898204912.

The spelling of 57240144 in words is "fifty-seven million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 30577 61154 91731 122308 183462 244616 275193 366924 397501 489232 550386 733848 795002 1100772 1192503 1467696 1590004 2201544 2385006 3180008 3577509 4403088 4770012 6360016 7155018 9540024 14310036 19080048 28620072 57240144