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88949264 = 2429533617
BaseRepresentation
bin1010100110101…
…00001000010000
320012101002110012
411103110020100
5140232334024
612454254052
72130025205
oct523241020
9205332405
1088949264
1146233998
1225957328
1315574901
14bb55cac
157c2050e
hex54d4210

88949264 has 40 divisors (see below), whose sum is σ = 181695960. Its totient is φ = 42119168.

The previous prime is 88949251. The next prime is 88949353. The reversal of 88949264 is 46294988.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2310400 + 86638864 = 1520^2 + 9308^2 .

It is a super-2 number, since 2×889492642 = 15823943132283392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22784 + ... + 26400.

It is an arithmetic number, because the mean of its divisors is an integer number (4542399).

Almost surely, 288949264 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 88949264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90847980).

88949264 is an abundant number, since it is smaller than the sum of its proper divisors (92746696).

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

88949264 is a wasteful number, since it uses less digits than its factorization.

88949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3701 counting only the distinct ones).

The product of its digits is 995328, while the sum is 50.

The square root of 88949264 is about 9431.2917460971. The cubic root of 88949264 is about 446.3896532419.

The spelling of 88949264 in words is "eighty-eight million, nine hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 3617 6148 7234 12296 14468 24592 28936 57872 104893 191701 209786 383402 419572 766804 839144 1533608 1678288 3067216 5559329 11118658 22237316 44474632 88949264