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61382656 = 21359127
BaseRepresentation
bin1110101000101…
…0000000000000
311021111120011201
43222022000000
5111203221111
610031350544
71343513116
oct352120000
9137446151
1061382656
1131715775
1218682454
13c9423ca
14821bab6
1555c76c1
hex3a8a000

61382656 has 56 divisors (see below), whose sum is σ = 125821440. Its totient is φ = 29933568.

The previous prime is 61382641. The next prime is 61382663. The reversal of 61382656 is 65628316.

It is a super-2 number, since 2×613826562 = 7535660915228672, which contains 22 as substring.

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, 483265 + ... + 483391.

Almost surely, 261382656 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 61382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62910720).

61382656 is an abundant number, since it is smaller than the sum of its proper divisors (64438784).

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

61382656 is an equidigital number, since it uses as much as digits as its factorization.

61382656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 61382656 is about 7834.7084183140. The cubic root of 61382656 is about 394.4711311237.

The spelling of 61382656 in words is "sixty-one million, three hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 64 118 127 128 236 254 256 472 508 512 944 1016 1024 1888 2032 2048 3776 4064 4096 7493 7552 8128 8192 14986 15104 16256 29972 30208 32512 59944 60416 65024 119888 120832 130048 239776 241664 260096 479552 483328 520192 959104 1040384 1918208 3836416 7672832 15345664 30691328 61382656