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88328544 = 2537112959
BaseRepresentation
bin1010100001111…
…00100101100000
320011012112222120
411100330211200
5140103003134
612433104240
72121531423
oct520744540
9204175876
1088328544
114594a5a7
12256b8080
13153b8215
14ba339ba
157b4b649
hex543c960

88328544 has 48 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 29025920.

The previous prime is 88328531. The next prime is 88328567. The reversal of 88328544 is 44582388.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 88328496 and 88328505.

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 7 ways as a sum of consecutive naturals, for example, 337 + ... + 13295.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 288328544 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 88328544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

88328544 is an abundant number, since it is smaller than the sum of its proper divisors (146817696).

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

88328544 is a wasteful number, since it uses less digits than its factorization.

88328544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13043 (or 13035 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 88328544 is about 9398.3266595708. The cubic root of 88328544 is about 445.3488725698.

The spelling of 88328544 in words is "eighty-eight million, three hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 12959 25918 38877 51836 77754 103672 155508 207344 311016 414688 622032 920089 1244064 1840178 2760267 3680356 5520534 7360712 11041068 14721424 22082136 29442848 44164272 88328544