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45311952 = 2437134857
BaseRepresentation
bin1010110011011…
…0011111010000
310011021002022110
42230312133100
543044440302
64255105320
71060100550
oct254663720
9104232273
1045311952
11236395a4
1213212240
13950660a
146037160
153ea0b6c
hex2b367d0

45311952 has 40 divisors (see below), whose sum is σ = 133779136. Its totient is φ = 12946176.

The previous prime is 45311923. The next prime is 45311957. The reversal of 45311952 is 25911354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45311957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67093 + ... + 67764.

Almost surely, 245311952 is an apocalyptic number.

45311952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45311952 is an abundant number, since it is smaller than the sum of its proper divisors (88467184).

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

45311952 is a wasteful number, since it uses less digits than its factorization.

45311952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134875 (or 134869 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 45311952 is about 6731.4153043769. The cubic root of 45311952 is about 356.5093495906.

The spelling of 45311952 in words is "forty-five million, three hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 134857 269714 404571 539428 809142 943999 1078856 1618284 1887998 2157712 2831997 3236568 3775996 5663994 6473136 7551992 11327988 15103984 22655976 45311952