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53982864 = 24321328837
BaseRepresentation
bin1100110111101…
…1011010010000
310202120121120100
43031323122100
5102304422424
65205012400
71223563305
oct315733220
9122517510
1053982864
1128521141
12160b4100
13b251230
1472530ac
154b14dc9
hex337b690

53982864 has 60 divisors (see below), whose sum is σ = 162703996. Its totient is φ = 16609536.

The previous prime is 53982847. The next prime is 53982893. The reversal of 53982864 is 46828935.

It can be written as a sum of positive squares in 2 ways, for example, as 20250000 + 33732864 = 4500^2 + 5808^2 .

It is a super-4 number, since 4×539828644 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12547 + ... + 16290.

Almost surely, 253982864 is an apocalyptic number.

It is an amenable number.

53982864 is an abundant number, since it is smaller than the sum of its proper divisors (108721132).

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

53982864 is a wasteful number, since it uses less digits than its factorization.

53982864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28864 (or 28855 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 53982864 is about 7347.3031787180. The cubic root of 53982864 is about 377.9363292439.

The spelling of 53982864 in words is "fifty-three million, nine hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 28837 57674 86511 115348 173022 230696 259533 346044 374881 461392 519066 692088 749762 1038132 1124643 1384176 1499524 2076264 2249286 2999048 3373929 4152528 4498572 5998096 6747858 8997144 13495716 17994288 26991432 53982864