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52591032 = 2335132081
BaseRepresentation
bin1100100010011…
…1100110111000
310122221220100000
43020213212320
5101430403112
65115113000
71206005424
oct310474670
9118856300
1052591032
112776046a
1215742760
13ab84870
146dadb84
15493c7dc
hex32279b8

52591032 has 96 divisors (see below), whose sum is σ = 159148080. Its totient is φ = 16174080.

The previous prime is 52591027. The next prime is 52591039. The reversal of 52591032 is 23019525.

52591032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52590987 and 52591005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52591039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24232 + ... + 26312.

Almost surely, 252591032 is an apocalyptic number.

52591032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52591032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79574040).

52591032 is an abundant number, since it is smaller than the sum of its proper divisors (106557048).

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

52591032 is a wasteful number, since it uses less digits than its factorization.

52591032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52591032 is about 7251.9674571802. The cubic root of 52591032 is about 374.6599156736.

The spelling of 52591032 in words is "fifty-two million, five hundred ninety-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2081 2106 2808 3159 4162 4212 6243 6318 8324 8424 12486 12636 16648 18729 24972 25272 27053 37458 49944 54106 56187 74916 81159 108212 112374 149832 162318 168561 216424 224748 243477 324636 337122 449496 486954 505683 649272 674244 730431 973908 1011366 1348488 1460862 1947816 2022732 2191293 2921724 4045464 4382586 5843448 6573879 8765172 13147758 17530344 26295516 52591032