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56387877 = 37213191553
BaseRepresentation
bin1101011100011…
…0100100100101
310221002210121220
43113012210211
5103413403002
65332330553
71253201100
oct327064445
9127083556
1056387877
1129914057
1216a73a59
13b8b3b10
1476bb737
154e3c7bc
hex35c6925

56387877 has 48 divisors (see below), whose sum is σ = 99207360. Its totient is φ = 28159488.

The previous prime is 56387869. The next prime is 56387887. The reversal of 56387877 is 77878365.

56387877 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56387877 - 23 = 56387869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56387857) 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 47 ways as a sum of consecutive naturals, for example, 35533 + ... + 37085.

It is an arithmetic number, because the mean of its divisors is an integer number (2066820).

Almost surely, 256387877 is an apocalyptic number.

56387877 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

56387877 is a deficient number, since it is larger than the sum of its proper divisors (42819483).

56387877 is a wasteful number, since it uses less digits than its factorization.

56387877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1595 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 56387877 is about 7509.1861742801. The cubic root of 56387877 is about 383.4675168975.

The spelling of 56387877 in words is "fifty-six million, three hundred eighty-seven thousand, eight hundred seventy-seven".

Divisors: 1 3 7 13 19 21 39 49 57 91 133 147 247 273 399 637 741 931 1553 1729 1911 2793 4659 5187 10871 12103 20189 29507 32613 36309 60567 76097 88521 141323 206549 228291 383591 423969 619647 989261 1150773 1445843 2685137 2967783 4337529 8055411 18795959 56387877