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52507100 = 2252539907
BaseRepresentation
bin1100100001001…
…1000111011100
310122210122012102
43020103013130
5101420211400
65113224232
71205205632
oct310230734
9118718172
1052507100
11277033a8
1215702078
13ab555b9
146d8b352
1549229d5
hex32131dc

52507100 has 36 divisors (see below), whose sum is σ = 116101944. Its totient is φ = 20604480.

The previous prime is 52507093. The next prime is 52507129. The reversal of 52507100 is 170525.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347 + ... + 10253.

It is an arithmetic number, because the mean of its divisors is an integer number (3225054).

Almost surely, 252507100 is an apocalyptic number.

52507100 is a gapful number since it is divisible by the number (50) 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 52507100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58050972).

52507100 is an abundant number, since it is smaller than the sum of its proper divisors (63594844).

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

52507100 is a wasteful number, since it uses less digits than its factorization.

52507100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 52507100 is about 7246.1783030781. The cubic root of 52507100 is about 374.4604982807.

Adding to 52507100 its reverse (170525), we get a palindrome (52677625).

The spelling of 52507100 in words is "fifty-two million, five hundred seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 9907 19814 39628 49535 99070 198140 247675 495350 525071 990700 1050142 2100284 2625355 5250710 10501420 13126775 26253550 52507100