Search a number
-
+
5457204 = 22321737241
BaseRepresentation
bin10100110100010100110100
3101021020212200
4110310110310
52344112304
6312544500
764246134
oct24642464
911236780
105457204
113098095
1219b2130
131190c1c
14a20ac4
1572be39
hex534534

5457204 has 72 divisors (see below), whose sum is σ = 15063048. Its totient is φ = 1658880.

The previous prime is 5457181. The next prime is 5457229. The reversal of 5457204 is 4027545.

5457204 is a `hidden beast` number, since 5 + 457 + 204 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3348900 + 2108304 = 1830^2 + 1452^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22524 + ... + 22764.

It is an arithmetic number, because the mean of its divisors is an integer number (209209).

Almost surely, 25457204 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 5457204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531524).

5457204 is an abundant number, since it is smaller than the sum of its proper divisors (9605844).

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

5457204 is a wasteful number, since it uses less digits than its factorization.

5457204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5457204 is about 2336.0659237273. The cubic root of 5457204 is about 176.0583914380.

The spelling of 5457204 in words is "five million, four hundred fifty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 241 306 333 444 482 612 629 666 723 964 1258 1332 1446 1887 2169 2516 2892 3774 4097 4338 5661 7548 8194 8676 8917 11322 12291 16388 17834 22644 24582 26751 35668 36873 49164 53502 73746 80253 107004 147492 151589 160506 303178 321012 454767 606356 909534 1364301 1819068 2728602 5457204