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61152832 = 2613312371
BaseRepresentation
bin1110100101000…
…1111001000000
311021001212220201
43221101321000
5111123342312
610022414544
71341535066
oct351217100
9137055821
1061152832
1131579034
1218591454
13c891910
14819c036
15557e557
hex3a51e40

61152832 has 56 divisors (see below), whose sum is σ = 134957312. Its totient is φ = 27302400.

The previous prime is 61152829. The next prime is 61152877. The reversal of 61152832 is 23825116.

It is a self number, because there is not a number n which added to its sum of digits gives 61152832.

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 7 ways as a sum of consecutive naturals, for example, 24607 + ... + 26977.

It is an arithmetic number, because the mean of its divisors is an integer number (2409952).

Almost surely, 261152832 is an apocalyptic number.

61152832 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67478656).

61152832 is an abundant number, since it is smaller than the sum of its proper divisors (73804480).

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

61152832 is a wasteful number, since it uses less digits than its factorization.

61152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2417 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 61152832 is about 7820.0276214346. The cubic root of 61152832 is about 393.9781997266.

Adding to 61152832 its reverse (23825116), we get a palindrome (84977948).

The spelling of 61152832 in words is "sixty-one million, one hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 2371 3224 4742 6448 9484 12896 18968 25792 30823 37936 61646 73501 75872 123292 147002 151744 246584 294004 493168 588008 955513 986336 1176016 1911026 1972672 2352032 3822052 4704064 7644104 15288208 30576416 61152832