Search a number
-
+
57275360 = 255418731
BaseRepresentation
bin1101101001111…
…1001111100000
310222202220000122
43122133033200
5104130302420
65403335412
71263555362
oct332371740
9128686018
1057275360
112a36a90a
1217221568
13bb34a5c
14786cd32
155065725
hex369f3e0

57275360 has 48 divisors (see below), whose sum is σ = 138629232. Its totient is φ = 22348800.

The previous prime is 57275341. The next prime is 57275369. The reversal of 57275360 is 6357275.

It is a self number, because there is not a number n which added to its sum of digits gives 57275360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57275369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2195 + ... + 10925.

It is an arithmetic number, because the mean of its divisors is an integer number (2888109).

Almost surely, 257275360 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 57275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69314616).

57275360 is an abundant number, since it is smaller than the sum of its proper divisors (81353872).

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

57275360 is a wasteful number, since it uses less digits than its factorization.

57275360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8787 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 57275360 is about 7568.0486256366. The cubic root of 57275360 is about 385.4688390764.

The spelling of 57275360 in words is "fifty-seven million, two hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 8731 17462 34924 43655 69848 87310 139696 174620 279392 349240 357971 698480 715942 1396960 1431884 1789855 2863768 3579710 5727536 7159420 11455072 14318840 28637680 57275360