Search a number
-
+
55313152 = 28433499
BaseRepresentation
bin1101001100000…
…0001100000000
310212002012101021
43103000030000
5103130010102
65253315224
71241103556
oct323001400
9125065337
1055313152
112924a654
1216635b14
13b5c889b
1474bbbd6
154cc9137
hex34c0300

55313152 has 36 divisors (see below), whose sum is σ = 110887000. Its totient is φ = 27537408.

The previous prime is 55313147. The next prime is 55313171. The reversal of 55313152 is 25131355.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110599 + ... + 111097.

Almost surely, 255313152 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 55313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55443500).

55313152 is an abundant number, since it is smaller than the sum of its proper divisors (55573848).

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

55313152 is an equidigital number, since it uses as much as digits as its factorization.

55313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 934 counting only the distinct ones).

The product of its digits is 2250, while the sum is 25.

The square root of 55313152 is about 7437.2812236731. The cubic root of 55313152 is about 381.0156394634.

The spelling of 55313152 in words is "fifty-five million, three hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 433 499 866 998 1732 1996 3464 3992 6928 7984 13856 15968 27712 31936 55424 63872 110848 127744 216067 432134 864268 1728536 3457072 6914144 13828288 27656576 55313152