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99700352 = 27611132
BaseRepresentation
bin1011111000101…
…00111010000000
320221121022011122
411330110322000
5201010402402
613520531412
72320303403
oct574247200
9227538148
1099700352
1151307394
1229480b68
131786a2bb
14d353d3a
158b45ca2
hex5f14e80

99700352 has 48 divisors (see below), whose sum is σ = 203680230. Its totient is φ = 48599040.

The previous prime is 99700343. The next prime is 99700361. The reversal of 99700352 is 25300799.

It is an interprime number because it is at equal distance from previous prime (99700343) and next prime (99700361).

It can be written as a sum of positive squares in 3 ways, for example, as 4910656 + 94789696 = 2216^2 + 9736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 882248 + ... + 882360.

Almost surely, 299700352 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 99700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101840115).

99700352 is an abundant number, since it is smaller than the sum of its proper divisors (103979878).

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

99700352 is an equidigital number, since it uses as much as digits as its factorization.

99700352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 99700352 is about 9985.0063595373. The cubic root of 99700352 is about 463.6948052483.

The spelling of 99700352 in words is "ninety-nine million, seven hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 113 122 128 226 244 452 488 904 976 1808 1952 3616 3904 6893 7232 7808 12769 13786 14464 25538 27572 51076 55144 102152 110288 204304 220576 408608 441152 778909 817216 882304 1557818 1634432 3115636 6231272 12462544 24925088 49850176 99700352