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52937632 = 2511592549
BaseRepresentation
bin1100100111110…
…0001110100000
310200121111210001
43021330032200
5102023001012
65130345344
71211651056
oct311741640
9120544701
1052937632
1127977910
121588b254
13ac76557
1470601d6
1549aa357
hex327c3a0

52937632 has 48 divisors (see below), whose sum is σ = 115668000. Its totient is φ = 23645440.

The previous prime is 52937627. The next prime is 52937641. The reversal of 52937632 is 23673925.

It is a junction number, because it is equal to n+sod(n) for n = 52937591 and 52937600.

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, 19494 + ... + 22042.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 252937632 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 52937632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834000).

52937632 is an abundant number, since it is smaller than the sum of its proper divisors (62730368).

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

52937632 is a wasteful number, since it uses less digits than its factorization.

52937632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2621 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 52937632 is about 7275.8251765693. The cubic root of 52937632 is about 375.4811766903.

The spelling of 52937632 in words is "fifty-two million, nine hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 649 944 1298 1888 2549 2596 5098 5192 10196 10384 20392 20768 28039 40784 56078 81568 112156 150391 224312 300782 448624 601564 897248 1203128 1654301 2406256 3308602 4812512 6617204 13234408 26468816 52937632