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52508300 = 2252133239
BaseRepresentation
bin1100100001001…
…1011010001100
310122210200211212
43020103122030
5101420231200
65113233552
71205212265
oct310233214
9118720755
1052508300
1127704299
12157028b8
13ab56000
146d8b96c
154923035
hex321368c

52508300 has 72 divisors (see below), whose sum is σ = 123950400. Its totient is φ = 19306560.

The previous prime is 52508297. The next prime is 52508311. The reversal of 52508300 is 380525.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219581 + ... + 219819.

Almost surely, 252508300 is an apocalyptic number.

52508300 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 52508300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61975200).

52508300 is an abundant number, since it is smaller than the sum of its proper divisors (71442100).

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

52508300 is a wasteful number, since it uses less digits than its factorization.

52508300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 52508300 is about 7246.2611048733. The cubic root of 52508300 is about 374.4633509055.

Adding to 52508300 its reverse (380525), we get a palindrome (52888825).

The spelling of 52508300 in words is "fifty-two million, five hundred eight thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 239 260 325 338 478 650 676 845 956 1195 1300 1690 2197 2390 3107 3380 4225 4394 4780 5975 6214 8450 8788 10985 11950 12428 15535 16900 21970 23900 31070 40391 43940 54925 62140 77675 80782 109850 155350 161564 201955 219700 310700 403910 525083 807820 1009775 1050166 2019550 2100332 2625415 4039100 5250830 10501660 13127075 26254150 52508300