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53735568 = 2431139907
BaseRepresentation
bin1100110011111…
…1000010010000
310202010001100020
43030333002100
5102224014233
65155423440
71221513315
oct314770220
9122101306
1053735568
1128372367
1215bb4b80
13b1957c3
1471cad0c
154ab69b3
hex333f090

53735568 has 40 divisors (see below), whose sum is σ = 140059488. Its totient is φ = 17751552.

The previous prime is 53735557. The next prime is 53735603. The reversal of 53735568 is 86553735.

It is a super-2 number, since 2×537355682 = 5775022536565248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471 + ... + 10377.

Almost surely, 253735568 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 53735568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70029744).

53735568 is an abundant number, since it is smaller than the sum of its proper divisors (86323920).

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

53735568 is a wasteful number, since it uses less digits than its factorization.

53735568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10025 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 53735568 is about 7330.4548289994. The cubic root of 53735568 is about 377.3583358040.

The spelling of 53735568 in words is "fifty-three million, seven hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 9907 19814 29721 39628 59442 79256 118884 158512 237768 475536 1119491 2238982 3358473 4477964 6716946 8955928 13433892 17911856 26867784 53735568