Search a number
-
+
55515296 = 2531191293
BaseRepresentation
bin1101001111000…
…1100010100000
310212110110200002
43103301202200
5103202442141
65301515132
71242605114
oct323614240
9125413602
1055515296
1129378511
1216712aa8
13b6698b5
147531744
154d18e9b
hex34f18a0

55515296 has 48 divisors (see below), whose sum is σ = 113799168. Its totient is φ = 26630400.

The previous prime is 55515293. The next prime is 55515373. The reversal of 55515296 is 69251555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55515293) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 189326 + ... + 189618.

It is an arithmetic number, because the mean of its divisors is an integer number (2370816).

Almost surely, 255515296 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 55515296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56899584).

55515296 is an abundant number, since it is smaller than the sum of its proper divisors (58283872).

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

55515296 is a wasteful number, since it uses less digits than its factorization.

55515296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its digits is 67500, while the sum is 38.

The square root of 55515296 is about 7450.8587424538. The cubic root of 55515296 is about 381.4792205375.

It can be divided in two parts, 555 and 15296, that added together give a palindrome (15851).

The spelling of 55515296 in words is "fifty-five million, five hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 124 191 248 293 382 496 586 764 992 1172 1528 2344 3056 4688 5921 6112 9083 9376 11842 18166 23684 36332 47368 55963 72664 94736 111926 145328 189472 223852 290656 447704 895408 1734853 1790816 3469706 6939412 13878824 27757648 55515296