Search a number
-
+
88275264 = 2637211853
BaseRepresentation
bin1010100001011…
…11100101000000
320011002211220020
411100233211000
5140044302024
612432013440
72121220200
oct520574500
9204084806
1088275264
1145913570
1225691280
1315399bac
14ba1c400
157b3a979
hex542f940

88275264 has 168 divisors, whose sum is σ = 296741088. Its totient is φ = 22901760.

The previous prime is 88275241. The next prime is 88275283. The reversal of 88275264 is 46257288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103062 + ... + 103914.

It is an arithmetic number, because the mean of its divisors is an integer number (1766316).

Almost surely, 288275264 is an apocalyptic number.

88275264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148370544).

88275264 is an abundant number, since it is smaller than the sum of its proper divisors (208465824).

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

88275264 is a wasteful number, since it uses less digits than its factorization.

88275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 876 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 88275264 is about 9395.4916848455. The cubic root of 88275264 is about 445.2593093723.

The spelling of 88275264 in words is "eighty-eight million, two hundred seventy-five thousand, two hundred sixty-four".