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52125900 = 22352239727
BaseRepresentation
bin1100011011011…
…0000011001100
310122002021021220
43012312003030
5101321012100
65101123340
71202030361
oct306660314
9118067256
1052125900
1127472a62
1215559550
13aa50c38
146ccc468
154899aa0
hex31b60cc

52125900 has 72 divisors (see below), whose sum is σ = 151656960. Its totient is φ = 13823040.

The previous prime is 52125833. The next prime is 52125907. The reversal of 52125900 is 952125.

It is not an unprimeable number, because it can be changed into a prime (52125907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71337 + ... + 72063.

Almost surely, 252125900 is an apocalyptic number.

52125900 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 52125900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75828480).

52125900 is an abundant number, since it is smaller than the sum of its proper divisors (99531060).

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

52125900 is a wasteful number, since it uses less digits than its factorization.

52125900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 52125900 is about 7219.8268677303. The cubic root of 52125900 is about 373.5521056893.

The spelling of 52125900 in words is "fifty-two million, one hundred twenty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 239 300 478 717 727 956 1195 1434 1454 2181 2390 2868 2908 3585 3635 4362 4780 5975 7170 7270 8724 10905 11950 14340 14540 17925 18175 21810 23900 35850 36350 43620 54525 71700 72700 109050 173753 218100 347506 521259 695012 868765 1042518 1737530 2085036 2606295 3475060 4343825 5212590 8687650 10425180 13031475 17375300 26062950 52125900