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87333948 = 2232131811031
BaseRepresentation
bin1010011010010…
…01110000111100
320002100000122200
411031021300330
5134324141243
612355511500
72110216632
oct515116074
9202300580
1087333948
1145330319
12252b8590
131512a5c0
14b855352
157a01ad3
hex5349c3c

87333948 has 72 divisors (see below), whose sum is σ = 239287776. Its totient is φ = 26697600.

The previous prime is 87333929. The next prime is 87333973. The reversal of 87333948 is 84933378.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 84193 + ... + 85223.

Almost surely, 287333948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87333948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119643888).

87333948 is an abundant number, since it is smaller than the sum of its proper divisors (151953828).

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

87333948 is a wasteful number, since it uses less digits than its factorization.

87333948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1230 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 87333948 is about 9345.2633991771. The cubic root of 87333948 is about 443.6709882997.

The spelling of 87333948 in words is "eighty-seven million, three hundred thirty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 724 1031 1086 1629 2062 2172 2353 3093 3258 4124 4706 6186 6516 7059 9279 9412 12372 13403 14118 18558 21177 26806 28236 37116 40209 42354 53612 80418 84708 120627 160836 186611 241254 373222 482508 559833 746444 1119666 1679499 2239332 2425943 3358998 4851886 6717996 7277829 9703772 14555658 21833487 29111316 43666974 87333948