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53219968 = 274110141
BaseRepresentation
bin1100101100000…
…1001010000000
310201010212001221
43023001022000
5102111014333
65140404424
71214235154
oct313011200
9121125057
1053219968
112804aa4a
12159a6714
13b044c09
1470d5064
154a13d2d
hex32c1280

53219968 has 32 divisors (see below), whose sum is σ = 108620820. Its totient is φ = 25958400.

The previous prime is 53219951. The next prime is 53219977. The reversal of 53219968 is 86991235.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 10291264 = 6552^2 + 3208^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178 + ... + 10318.

Almost surely, 253219968 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 53219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54310410).

53219968 is an abundant number, since it is smaller than the sum of its proper divisors (55400852).

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

53219968 is a wasteful number, since it uses less digits than its factorization.

53219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10196 (or 10184 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 53219968 is about 7295.2017107137. The cubic root of 53219968 is about 376.1475202038.

The spelling of 53219968 in words is "fifty-three million, two hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 10141 20282 40564 81128 162256 324512 415781 649024 831562 1298048 1663124 3326248 6652496 13304992 26609984 53219968