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88297728 = 283176763
BaseRepresentation
bin1010100001101…
…01000100000000
320011010222201020
411100311010000
5140101011403
612432305440
72121342531
oct520650400
9204128636
1088297728
1145929432
12256a2280
13153a719c
14ba26688
157b42453
hex5435100

88297728 has 72 divisors (see below), whose sum is σ = 248861088. Its totient is φ = 27697152.

The previous prime is 88297717. The next prime is 88297751. The reversal of 88297728 is 82779288.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 9675 + ... + 16437.

It is an arithmetic number, because the mean of its divisors is an integer number (3456404).

Almost surely, 288297728 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 88297728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124430544).

88297728 is an abundant number, since it is smaller than the sum of its proper divisors (160563360).

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

88297728 is a wasteful number, since it uses less digits than its factorization.

88297728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6799 (or 6785 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The square root of 88297728 is about 9396.6870757730. The cubic root of 88297728 is about 445.2970755458.

The spelling of 88297728 in words is "eighty-eight million, two hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 6763 13056 13526 20289 27052 40578 54104 81156 108208 114971 162312 216416 229942 324624 344913 432832 459884 649248 689826 865664 919768 1298496 1379652 1731328 1839536 2596992 2759304 3679072 5193984 5518608 7358144 11037216 14716288 22074432 29432576 44148864 88297728