Search a number
-
+
56937296 = 2413331827
BaseRepresentation
bin1101100100110…
…0101101010000
310222010201021202
43121030231100
5104033443141
65352210332
71260646643
oct331145520
9128121252
1056937296
112a159919
12170999a8
13ba46c10
1477c1a5a
154eea49b
hex364cb50

56937296 has 40 divisors (see below), whose sum is σ = 119304864. Its totient is φ = 26167680.

The previous prime is 56937277. The next prime is 56937313. The reversal of 56937296 is 69273965.

It is a self number, because there is not a number n which added to its sum of digits gives 56937296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68435 + ... + 69261.

Almost surely, 256937296 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 56937296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59652432).

56937296 is an abundant number, since it is smaller than the sum of its proper divisors (62367568).

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

56937296 is a wasteful number, since it uses less digits than its factorization.

56937296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its digits is 612360, while the sum is 47.

The square root of 56937296 is about 7545.6806187381. The cubic root of 56937296 is about 384.7089406380.

The spelling of 56937296 in words is "fifty-six million, nine hundred thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 331 662 827 1324 1654 2648 3308 4303 5296 6616 8606 10751 13232 17212 21502 34424 43004 68848 86008 172016 273737 547474 1094948 2189896 3558581 4379792 7117162 14234324 28468648 56937296