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53956608 = 21234391
BaseRepresentation
bin1100110111010…
…1000000000000
310202112021112220
43031311000000
5102303102413
65204251040
71223423616
oct315650000
9122467486
1053956608
1128503442
12160a0a80
13b2422b4
1472476b6
154b0c223
hex3375000

53956608 has 52 divisors (see below), whose sum is σ = 143899488. Its totient is φ = 17981440.

The previous prime is 53956601. The next prime is 53956613. The reversal of 53956608 is 80665935.

It is a super-2 number, since 2×539566082 = 5822631093731328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53956608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53956601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10093 + ... + 14483.

Almost surely, 253956608 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 53956608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71949744).

53956608 is an abundant number, since it is smaller than the sum of its proper divisors (89942880).

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

53956608 is an equidigital number, since it uses as much as digits as its factorization.

53956608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 53956608 is about 7345.5161833598. The cubic root of 53956608 is about 377.8750461827.

The spelling of 53956608 in words is "fifty-three million, nine hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4391 6144 8782 12288 13173 17564 26346 35128 52692 70256 105384 140512 210768 281024 421536 562048 843072 1124096 1686144 2248192 3372288 4496384 6744576 8992768 13489152 17985536 26978304 53956608