Search a number
-
+
55356352 = 261783613
BaseRepresentation
bin1101001100101…
…0101111000000
310212011101122021
43103022233000
5103132400402
65254251224
71241343532
oct323125700
9125141567
1055356352
112927a057
1216656b14
13b61244c
1474cd852
154cd6d37
hex34cabc0

55356352 has 56 divisors (see below), whose sum is σ = 117902736. Its totient is φ = 25694208.

The previous prime is 55356349. The next prime is 55356397. The reversal of 55356352 is 25365355.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 89998 + ... + 90610.

It is an arithmetic number, because the mean of its divisors is an integer number (2105406).

Almost surely, 255356352 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 55356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58951368).

55356352 is an abundant number, since it is smaller than the sum of its proper divisors (62546384).

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

55356352 is a wasteful number, since it uses less digits than its factorization.

55356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its digits is 67500, while the sum is 34.

The square root of 55356352 is about 7440.1849439379. The cubic root of 55356352 is about 381.1148057062.

The spelling of 55356352 in words is "fifty-five million, three hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 83 136 166 272 332 544 613 664 1088 1226 1328 1411 2452 2656 2822 4904 5312 5644 9808 10421 11288 19616 20842 22576 39232 41684 45152 50879 83368 90304 101758 166736 203516 333472 407032 666944 814064 864943 1628128 1729886 3256256 3459772 6919544 13839088 27678176 55356352