Search a number
-
+
156889264 = 2473173619
BaseRepresentation
bin10010101100111…
…11000010110000
3101221012210121111
421112133002300
5310130424024
623322403104
73613352050
oct1126370260
9357183544
10156889264
1180618254
1244660494
13266718ac
1416b9d560
15db90a94
hex959f0b0

156889264 has 80 divisors (see below), whose sum is σ = 364103680. Its totient is φ = 64074240.

The previous prime is 156889253. The next prime is 156889267. The reversal of 156889264 is 462988651.

It is a super-2 number, since 2×1568892642 = 49228482316923392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (156889267) 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, 253147 + ... + 253765.

It is an arithmetic number, because the mean of its divisors is an integer number (4551296).

Almost surely, 2156889264 is an apocalyptic number.

156889264 is a gapful number since it is divisible by the number (14) 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 156889264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182051840).

156889264 is an abundant number, since it is smaller than the sum of its proper divisors (207214416).

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

156889264 is a wasteful number, since it uses less digits than its factorization.

156889264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The square root of 156889264 is about 12525.5444592241. The cubic root of 156889264 is about 539.3422077340.

The spelling of 156889264 in words is "one hundred fifty-six million, eight hundred eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 73 112 124 146 217 248 292 434 496 511 584 619 868 1022 1168 1238 1736 2044 2263 2476 3472 4088 4333 4526 4952 8176 8666 9052 9904 15841 17332 18104 19189 31682 34664 36208 38378 45187 63364 69328 76756 90374 126728 134323 153512 180748 253456 268646 307024 316309 361496 537292 632618 722992 1074584 1265236 1400797 2149168 2530472 2801594 5060944 5603188 9805579 11206376 19611158 22412752 39222316 78444632 156889264