Search a number
-
+
55004292 = 22337312347
BaseRepresentation
bin1101000111010…
…0110010000100
310211111111201000
43101310302010
5103040114132
65242533300
71235346240
oct321646204
9124444630
1055004292
11290595a2
1216507230
13b51b125
14743b420
154c6787c
hex3474c84

55004292 has 96 divisors (see below), whose sum is σ = 168304640. Its totient is φ = 15202080.

The previous prime is 55004281. The next prime is 55004309. The reversal of 55004292 is 29240055.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22263 + ... + 24609.

Almost surely, 255004292 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 55004292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84152320).

55004292 is an abundant number, since it is smaller than the sum of its proper divisors (113300348).

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

55004292 is a wasteful number, since it uses less digits than its factorization.

55004292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55004292 is about 7416.4878480316. The cubic root of 55004292 is about 380.3051381049.

The spelling of 55004292 in words is "fifty-five million, four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2347 2604 3348 3906 4694 5859 7041 7812 9388 11718 14082 16429 21123 23436 28164 32858 42246 49287 63369 65716 72757 84492 98574 126738 145514 147861 197148 218271 253476 291028 295722 436542 443583 509299 591444 654813 873084 887166 1018598 1309626 1527897 1774332 1964439 2037196 2619252 3055794 3928878 4583691 6111588 7857756 9167382 13751073 18334764 27502146 55004292