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252458130 = 23519223311
BaseRepresentation
bin11110000110000…
…11010010010010
3122121001012110010
433003003102102
51004112130010
641015015350
76153600351
oct1703032222
9577035403
10252458130
1111a562591
127066a556
13403c3512
1425759998
151726c620
hexf0c3492

252458130 has 48 divisors (see below), whose sum is σ = 639494784. Its totient is φ = 63776160.

The previous prime is 252458119. The next prime is 252458147. The reversal of 252458130 is 31854252.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826 + ... + 22485.

It is an arithmetic number, because the mean of its divisors is an integer number (13322808).

Almost surely, 2252458130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252458130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319747392).

252458130 is an abundant number, since it is smaller than the sum of its proper divisors (387036654).

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

252458130 is a wasteful number, since it uses less digits than its factorization.

252458130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23359 (or 23340 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 252458130 is about 15888.9310527801. The cubic root of 252458130 is about 632.0184944249.

The spelling of 252458130 in words is "two hundred fifty-two million, four hundred fifty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3610 5415 10830 23311 46622 69933 116555 139866 233110 349665 442909 699330 885818 1328727 2214545 2657454 4429090 6643635 8415271 13287270 16830542 25245813 42076355 50491626 84152710 126229065 252458130