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88830625 = 54132292
BaseRepresentation
bin1010100101101…
…11001010100001
320012011001201011
411102313022201
5140220040000
612451540521
72126022262
oct522671241
9205131634
1088830625
1146162844
12258ba741
1315532900
14bb24969
157bea2ba
hex54b72a1

88830625 has 45 divisors (see below), whose sum is σ = 124485933. Its totient is φ = 63336000.

The previous prime is 88830613. The next prime is 88830659. The reversal of 88830625 is 52603888.

The square root of 88830625 is 9425.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 56295009 + 32535616 = 7503^2 + 5704^2 .

It is not a de Polignac number, because 88830625 - 217 = 88699553 is a prime.

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 44 ways as a sum of consecutive naturals, for example, 3063111 + ... + 3063139.

Almost surely, 288830625 is an apocalyptic number.

88830625 is the 9425-th square number.

88830625 is the 4713-rd centered octagonal number.

It is an amenable number.

88830625 is a deficient number, since it is larger than the sum of its proper divisors (35655308).

88830625 is an equidigital number, since it uses as much as digits as its factorization.

88830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The cubic root of 88830625 is about 446.1911026580.

It can be divided in two parts, 888 and 30625, that added together give a palindrome (31513).

The spelling of 88830625 in words is "eighty-eight million, eight hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 29 65 125 145 169 325 377 625 725 841 845 1625 1885 3625 4205 4225 4901 8125 9425 10933 18125 21025 21125 24505 47125 54665 105125 105625 122525 142129 235625 273325 525625 612625 710645 1366625 3063125 3553225 6833125 17766125 88830625