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88009328 = 2411717043
BaseRepresentation
bin1010011111011…
…10101001110000
320010121100002202
411033232221300
5140012244303
612422202332
72116031651
oct517565160
9203540082
1088009328
1145751790
12255833a8
1315305b34
14b98d528
157ad6c88
hex53eea70

88009328 has 40 divisors (see below), whose sum is σ = 188666496. Its totient is φ = 39435200.

The previous prime is 88009303. The next prime is 88009343. The reversal of 88009328 is 82390088.

It is a junction number, because it is equal to n+sod(n) for n = 88009291 and 88009300.

It is a congruent number.

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, 8975 + ... + 16017.

Almost surely, 288009328 is an apocalyptic number.

88009328 is a gapful number since it is divisible by the number (88) 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 88009328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94333248).

88009328 is an abundant number, since it is smaller than the sum of its proper divisors (100657168).

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

88009328 is a wasteful number, since it uses less digits than its factorization.

88009328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 88009328 is about 9381.3286905427. The cubic root of 88009328 is about 444.8117336846.

The spelling of 88009328 in words is "eighty-eight million, nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 7043 12496 14086 28172 56344 77473 112688 154946 309892 500053 619784 1000106 1239568 2000212 4000424 5500583 8000848 11001166 22002332 44004664 88009328