Search a number
-
+
87997952 = 29743571
BaseRepresentation
bin1010011111010…
…11111000000000
320010120202111102
411033223320000
5140011413302
612422033532
72115653540
oct517537000
9203522442
1087997952
1145744189
12255788a8
13153008c3
14b989320
157ad3702
hex53ebe00

87997952 has 80 divisors (see below), whose sum is σ = 205974912. Its totient is φ = 36771840.

The previous prime is 87997939. The next prime is 87997991. The reversal of 87997952 is 25979978.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 7 ways as a sum of consecutive naturals, for example, 153827 + ... + 154397.

Almost surely, 287997952 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 87997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102987456).

87997952 is an abundant number, since it is smaller than the sum of its proper divisors (117976960).

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

87997952 is an equidigital number, since it uses as much as digits as its factorization.

87997952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 56.

The square root of 87997952 is about 9380.7223602450. The cubic root of 87997952 is about 444.7925675483.

The spelling of 87997952 in words is "eighty-seven million, nine hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 571 602 688 896 1142 1204 1376 1792 2284 2408 2752 3584 3997 4568 4816 5504 7994 9136 9632 11008 15988 18272 19264 22016 24553 31976 36544 38528 49106 63952 73088 77056 98212 127904 146176 154112 171871 196424 255808 292352 343742 392848 511616 687484 785696 1023232 1374968 1571392 2046464 2749936 3142784 5499872 6285568 10999744 12571136 21999488 43998976 87997952