Search a number
87572 = 2221893
BaseRepresentation
bin10101011000010100
311110010102
4111120110
510300242
61513232
7513212
oct253024
9143112
1087572
115a881
1242818
1330b24
1423cb2
151ae32
hex15614

87572 has 6 divisors (see below), whose sum is σ = 153258. Its totient is φ = 43784.

The previous prime is 87559. The next prime is 87583. The reversal of 87572 is 27578.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 5776 = 286^2 + 76^2 .

It is an Ulam number.

It is a pancake number, because a pancake can be divided into 87572 parts by 418 straight cuts.

It is a congruent number.

It is an unprimeable number.

87572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10943 + ... + 10950.

It is an arithmetic number, because the mean of its divisors is an integer number (25543).

287572 is an apocalyptic number.

It is an amenable number.

87572 is a deficient number, since it is larger than the sum of its proper divisors (65686).

87572 is a wasteful number, since it uses less digits than its factorization.

87572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21897 (or 21895 counting only the distinct ones).

The product of its digits is 3920, while the sum is 29.

The square root of 87572 is about 295.9256663421. The cubic root of 87572 is about 44.4073737179.

The spelling of 87572 in words is "eighty-seven thousand, five hundred seventy-two".

Divisors: 1 2 4 21893 43786 87572