Search a number
-
+
57192200 = 23521321997
BaseRepresentation
bin1101101000101…
…0111100001000
310222121122221122
43122022330020
5104120122300
65401454412
71263061052
oct332127410
9128548848
1057192200
112a31338a
12171a1408
13bb05c50
14784a8d2
15504ac85
hex368af08

57192200 has 48 divisors (see below), whose sum is σ = 143206980. Its totient is φ = 21116160.

The previous prime is 57192173. The next prime is 57192209. The reversal of 57192200 is 229175.

It can be written as a sum of positive squares in 6 ways, for example, as 14394436 + 42797764 = 3794^2 + 6542^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 57192200.

It is not an unprimeable number, because it can be changed into a prime (57192209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8399 + ... + 13598.

Almost surely, 257192200 is an apocalyptic number.

57192200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57192200 is an abundant number, since it is smaller than the sum of its proper divisors (86014780).

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

57192200 is a wasteful number, since it uses less digits than its factorization.

57192200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22026 (or 22017 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 57192200 is about 7562.5524791568. The cubic root of 57192200 is about 385.2821903711.

The spelling of 57192200 in words is "fifty-seven million, one hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 21997 43994 87988 109985 175976 219970 285961 439940 549925 571922 879880 1099850 1143844 1429805 2199700 2287688 2859610 4399400 5719220 7149025 11438440 14298050 28596100 57192200