Search a number
-
+
55907856 = 24321991951
BaseRepresentation
bin1101010101000…
…1011000010000
310220012102011100
43111101120100
5103303022411
65314144400
71246131444
oct325213020
9126172140
1055907856
1129616444
1216882100
13b776494
1475d4824
154d95456
hex3551610

55907856 has 60 divisors (see below), whose sum is σ = 157331200. Its totient is φ = 18532800.

The previous prime is 55907833. The next prime is 55907879. The reversal of 55907856 is 65870955.

55907856 is a `hidden beast` number, since 5 + 590 + 7 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (55907833) and next prime (55907879).

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, 27681 + ... + 29631.

Almost surely, 255907856 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 55907856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78665600).

55907856 is an abundant number, since it is smaller than the sum of its proper divisors (101423344).

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

55907856 is a wasteful number, since it uses less digits than its factorization.

55907856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55907856 is about 7477.1556089197. The cubic root of 55907856 is about 382.3762819157.

The spelling of 55907856 in words is "fifty-five million, nine hundred seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 1951 2388 3184 3582 3902 4776 5853 7164 7804 9552 11706 14328 15608 17559 23412 28656 31216 35118 46824 70236 93648 140472 280944 388249 776498 1164747 1552996 2329494 3105992 3494241 4658988 6211984 6988482 9317976 13976964 18635952 27953928 55907856