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252379470 = 235719431471
BaseRepresentation
bin11110000101100…
…00000101001110
3122120220012112210
433002300011032
51004102120340
641013211250
76153122130
oct1702600516
9576805483
10252379470
1111a509482
1270630b26
1340396785
1425739050
1517254180
hexf0b014e

252379470 has 128 divisors (see below), whose sum is σ = 746127360. Its totient is φ = 53343360.

The previous prime is 252379447. The next prime is 252379499. The reversal of 252379470 is 74973252.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170835 + ... + 172305.

It is an arithmetic number, because the mean of its divisors is an integer number (5829120).

Almost surely, 2252379470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252379470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373063680).

252379470 is an abundant number, since it is smaller than the sum of its proper divisors (493747890).

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

252379470 is a wasteful number, since it uses less digits than its factorization.

252379470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550.

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 252379470 is about 15886.4555518215. The cubic root of 252379470 is about 631.9528469200.

The spelling of 252379470 in words is "two hundred fifty-two million, three hundred seventy-nine thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 43 57 70 86 95 105 114 129 133 190 210 215 258 266 285 301 399 430 570 602 645 665 798 817 903 1290 1330 1471 1505 1634 1806 1995 2451 2942 3010 3990 4085 4413 4515 4902 5719 7355 8170 8826 9030 10297 11438 12255 14710 17157 20594 22065 24510 27949 28595 30891 34314 44130 51485 55898 57190 61782 63253 83847 85785 102970 126506 139745 154455 167694 171570 189759 195643 279490 308910 316265 379518 391286 419235 442771 586929 632530 838470 885542 948795 978215 1173858 1201807 1328313 1897590 1956430 2213855 2403614 2656626 2934645 3605421 4427710 5869290 6009035 6641565 7210842 8412649 12018070 13283130 16825298 18027105 25237947 36054210 42063245 50475894 84126490 126189735 252379470