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52978032 = 2432794657
BaseRepresentation
bin1100101000011…
…0000101110000
310200200120012100
43022012011300
5102030244112
65131300400
71212206622
oct312060560
9120616170
1052978032
11279a51a8
12158aa700
13ac8ba63
147070c12
1549b72dc
hex3286170

52978032 has 60 divisors (see below), whose sum is σ = 150173920. Its totient is φ = 17432064.

The previous prime is 52978031. The next prime is 52978049. The reversal of 52978032 is 23087925.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52978031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9048 + ... + 13704.

Almost surely, 252978032 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 52978032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75086960).

52978032 is an abundant number, since it is smaller than the sum of its proper divisors (97195888).

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

52978032 is a wasteful number, since it uses less digits than its factorization.

52978032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 52978032 is about 7278.6009644711. The cubic root of 52978032 is about 375.5766700831.

The spelling of 52978032 in words is "fifty-two million, nine hundred seventy-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 4657 5688 9314 11376 13971 18628 27942 37256 41913 55884 74512 83826 111768 167652 223536 335304 367903 670608 735806 1103709 1471612 2207418 2943224 3311127 4414836 5886448 6622254 8829672 13244508 17659344 26489016 52978032