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56610378 = 23211299859
BaseRepresentation
bin1101011111110…
…0111001001010
310221112002211200
43113330321022
5103443013003
65341205030
71255115556
oct327747112
9127462750
1056610378
1129a56240
1216b60776
13b961186
147738866
154e836a3
hex35fce4a

56610378 has 48 divisors (see below), whose sum is σ = 138434400. Its totient is φ = 16561440.

The previous prime is 56610347. The next prime is 56610409. The reversal of 56610378 is 87301665.

56610378 is a `hidden beast` number, since 5 + 6 + 610 + 37 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (56610347) and next prime (56610409).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813 + ... + 10671.

It is an arithmetic number, because the mean of its divisors is an integer number (2884050).

Almost surely, 256610378 is an apocalyptic number.

56610378 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56610378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69217200).

56610378 is an abundant number, since it is smaller than the sum of its proper divisors (81824022).

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

56610378 is a wasteful number, since it uses less digits than its factorization.

56610378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9907 (or 9904 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 56610378 is about 7523.9868420938. The cubic root of 56610378 is about 383.9712299409.

The spelling of 56610378 in words is "fifty-six million, six hundred ten thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 9859 19718 29577 59154 88731 108449 177462 216898 285911 325347 571822 650694 857733 976041 1715466 1952082 2573199 3145021 5146398 6290042 9435063 18870126 28305189 56610378