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88690248 = 23331093767
BaseRepresentation
bin1010100100101…
…00111001001000
320011212221011000
411102110321020
5140201041443
612444535000
72124566103
oct522247110
9204787130
1088690248
1146077329
1225851460
13154b3a4a
14bac973a
157bbd8d3
hex5494e48

88690248 has 64 divisors (see below), whose sum is σ = 248688000. Its totient is φ = 29284416.

The previous prime is 88690229. The next prime is 88690249. The reversal of 88690248 is 84209688.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (88690249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21661 + ... + 25427.

It is an arithmetic number, because the mean of its divisors is an integer number (3885750).

Almost surely, 288690248 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 88690248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124344000).

88690248 is an abundant number, since it is smaller than the sum of its proper divisors (159997752).

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

88690248 is a wasteful number, since it uses less digits than its factorization.

88690248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 88690248 is about 9417.5499998673. The cubic root of 88690248 is about 445.9559435525.

The spelling of 88690248 in words is "eighty-eight million, six hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 327 436 654 872 981 1308 1962 2616 2943 3767 3924 5886 7534 7848 11301 11772 15068 22602 23544 30136 33903 45204 67806 90408 101709 135612 203418 271224 406836 410603 813672 821206 1231809 1642412 2463618 3284824 3695427 4927236 7390854 9854472 11086281 14781708 22172562 29563416 44345124 88690248