Search a number
-
+
252915916 = 221119714261
BaseRepresentation
bin11110001001100…
…11000011001100
3122121220110102011
433010303003030
51004221302131
641032511004
76160515121
oct1704630314
9577813364
10252915916
1111a845520
127084b464
13405239b6
1425838748
151730d0b1
hexf1330cc

252915916 has 48 divisors (see below), whose sum is σ = 515531520. Its totient is φ = 107352000.

The previous prime is 252915907. The next prime is 252915917. The reversal of 252915916 is 619519252.

It is a super-2 number, since 2×2529159162 = 127932921132238112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252915917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57226 + ... + 61486.

It is an arithmetic number, because the mean of its divisors is an integer number (10740240).

Almost surely, 2252915916 is an apocalyptic number.

It is an amenable number.

252915916 is an abundant number, since it is smaller than the sum of its proper divisors (262615604).

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

252915916 is a wasteful number, since it uses less digits than its factorization.

252915916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4364 counting only the distinct ones).

The product of its digits is 48600, while the sum is 40.

The square root of 252915916 is about 15903.3303430445. The cubic root of 252915916 is about 632.4002798624.

The spelling of 252915916 in words is "two hundred fifty-two million, nine hundred fifteen thousand, nine hundred sixteen".

Divisors: 1 2 4 11 19 22 38 44 71 76 142 209 284 418 781 836 1349 1562 2698 3124 4261 5396 8522 14839 17044 29678 46871 59356 80959 93742 161918 187484 302531 323836 605062 890549 1210124 1781098 3327841 3562196 5748089 6655682 11496178 13311364 22992356 63228979 126457958 252915916