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56414208 = 21234591
BaseRepresentation
bin1101011100110…
…1000000000000
310221011010202010
43113031000000
5103420223313
65333052520
71253340624
oct327150000
9127133663
1056414208
1129931914
1216a87140
13b8c2ab6
1476c7184
154e454c3
hex35cd000

56414208 has 52 divisors (see below), whose sum is σ = 150452288. Its totient is φ = 18800640.

The previous prime is 56414179. The next prime is 56414209. The reversal of 56414208 is 80241465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56414209) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9993 + ... + 14583.

Almost surely, 256414208 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 56414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75226144).

56414208 is an abundant number, since it is smaller than the sum of its proper divisors (94038080).

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

56414208 is an equidigital number, since it uses as much as digits as its factorization.

56414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 56414208 is about 7510.9392222278. The cubic root of 56414208 is about 383.5271958715.

The spelling of 56414208 in words is "fifty-six million, four hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4591 6144 9182 12288 13773 18364 27546 36728 55092 73456 110184 146912 220368 293824 440736 587648 881472 1175296 1762944 2350592 3525888 4701184 7051776 9402368 14103552 18804736 28207104 56414208