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56046648 = 23371492239
BaseRepresentation
bin1101010111001…
…1010000111000
310220110110112210
43111303100320
5103321443043
65321135120
71250250210
oct325632070
9126413483
1056046648
1129700749
121692a4a0
13b7c46c8
14762d240
154dc1633
hex3573438

56046648 has 64 divisors (see below), whose sum is σ = 161280000. Its totient is φ = 15898752.

The previous prime is 56046643. The next prime is 56046649. The reversal of 56046648 is 84664065.

56046648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56046643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23913 + ... + 26151.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 256046648 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 56046648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640000).

56046648 is an abundant number, since it is smaller than the sum of its proper divisors (105233352).

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

56046648 is a wasteful number, since it uses less digits than its factorization.

56046648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 56046648 is about 7486.4309253475. The cubic root of 56046648 is about 382.6924385162.

The spelling of 56046648 in words is "fifty-six million, forty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1043 1192 1788 2086 2239 3129 3576 4172 4478 6258 6717 8344 8956 12516 13434 15673 17912 25032 26868 31346 47019 53736 62692 94038 125384 188076 333611 376152 667222 1000833 1334444 2001666 2335277 2668888 4003332 4670554 7005831 8006664 9341108 14011662 18682216 28023324 56046648