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99588352 = 28733
BaseRepresentation
bin1011110111110…
…01100100000000
320221101121112111
411323321210000
5200443311402
613514305104
72316326023
oct573714400
9227347474
1099588352
1151240226
1229428194
131782b326
14d3251ba
158b229d7
hex5ef9900

99588352 has 36 divisors (see below), whose sum is σ = 201548620. Its totient is φ = 49112064.

The previous prime is 99588343. The next prime is 99588361. The reversal of 99588352 is 25388599.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (99588343) and next prime (99588361).

It can be written as a sum of positive squares in 2 ways, for example, as 22429696 + 77158656 = 4736^2 + 8784^2 .

Its product of digits (777600) is a multiple of the sum of its prime divisors (75).

It is a junction number, because it is equal to n+sod(n) for n = 99588296 and 99588305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1364188 + ... + 1364260.

Almost surely, 299588352 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 99588352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100774310).

99588352 is an abundant number, since it is smaller than the sum of its proper divisors (101960268).

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

99588352 is an frugal number, since it uses more digits than its factorization.

99588352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 75 counting only the distinct ones).

The product of its digits is 777600, while the sum is 49.

The square root of 99588352 is about 9979.3963745309. The cubic root of 99588352 is about 463.5211071747.

The spelling of 99588352 in words is "ninety-nine million, five hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 4672 5329 9344 10658 18688 21316 42632 85264 170528 341056 389017 682112 778034 1364224 1556068 3112136 6224272 12448544 24897088 49794176 99588352