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53122032 = 2432472167
BaseRepresentation
bin1100101010100…
…1001111110000
310200221212201200
43022221033300
5102044401112
65134331200
71213346505
oct312511760
9120855650
1053122032
1127a93407
1215959b00
13b00c472
1470ab4ac
1549e4cdc
hex32a93f0

53122032 has 90 divisors (see below), whose sum is σ = 152807928. Its totient is φ = 17226816.

The previous prime is 53122031. The next prime is 53122051. The reversal of 53122032 is 23022135.

53122032 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 53121996 and 53122014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53122031) 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 17 ways as a sum of consecutive naturals, for example, 318013 + ... + 318179.

Almost surely, 253122032 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 53122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76403964).

53122032 is an abundant number, since it is smaller than the sum of its proper divisors (99685896).

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

53122032 is a wasteful number, since it uses less digits than its factorization.

53122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53122032 is about 7288.4862625925. The cubic root of 53122032 is about 375.9166481906.

Adding to 53122032 its reverse (23022135), we get a palindrome (76144167).

The spelling of 53122032 in words is "fifty-three million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 167 188 282 334 376 423 501 564 668 752 846 1002 1128 1336 1503 1692 2004 2209 2256 2672 3006 3384 4008 4418 6012 6627 6768 7849 8016 8836 12024 13254 15698 17672 19881 23547 24048 26508 31396 35344 39762 47094 53016 62792 70641 79524 94188 106032 125584 141282 159048 188376 282564 318096 368903 376752 565128 737806 1106709 1130256 1475612 2213418 2951224 3320127 4426836 5902448 6640254 8853672 13280508 17707344 26561016 53122032