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56991984 = 2437712389
BaseRepresentation
bin1101100101101…
…0000011110000
310222020111022020
43121122003300
5104042220414
65353311440
71261265250
oct331320360
9128214266
1056991984
112a196a15
1217105580
13ba65a8a
1477d7960
15500b7a9
hex365a0f0

56991984 has 80 divisors (see below), whose sum is σ = 170703360. Its totient is φ = 16047360.

The previous prime is 56991983. The next prime is 56991997. The reversal of 56991984 is 48919965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56991983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22662 + ... + 25050.

It is an arithmetic number, because the mean of its divisors is an integer number (2133792).

Almost surely, 256991984 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 56991984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85351680).

56991984 is an abundant number, since it is smaller than the sum of its proper divisors (113711376).

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

56991984 is a wasteful number, since it uses less digits than its factorization.

56991984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2472 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 56991984 is about 7549.3035440364. The cubic root of 56991984 is about 384.8320715889.

It can be divided in two parts, 56991 and 984, that added together give a palindrome (57975).

The spelling of 56991984 in words is "fifty-six million, nine hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2389 2982 3408 3976 4778 5964 7167 7952 9556 11928 14334 16723 19112 23856 28668 33446 38224 50169 57336 66892 100338 114672 133784 169619 200676 267568 339238 401352 508857 678476 802704 1017714 1187333 1356952 2035428 2374666 2713904 3561999 4070856 4749332 7123998 8141712 9498664 14247996 18997328 28495992 56991984