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99284976 = 24327214071
BaseRepresentation
bin1011110101011…
…11011111110000
320220211012101100
411322233133300
5200404104401
613504004400
72313623400
oct572573760
9226735340
1099284976
11510532aa
1229300700
131775320b
14d286800
158ab2b86
hex5eaf7f0

99284976 has 90 divisors (see below), whose sum is σ = 323247912. Its totient is φ = 28365120.

The previous prime is 99284963. The next prime is 99284993. The reversal of 99284976 is 67948299.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21 + ... + 14091.

Almost surely, 299284976 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 99284976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161623956).

99284976 is an abundant number, since it is smaller than the sum of its proper divisors (223962936).

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

99284976 is a wasteful number, since it uses less digits than its factorization.

99284976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14099 (or 14083 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 99284976 is about 9964.1846630821. The cubic root of 99284976 is about 463.0499536373.

The spelling of 99284976 in words is "ninety-nine million, two hundred eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 14071 28142 42213 56284 84426 98497 112568 126639 168852 196994 225136 253278 295491 337704 393988 506556 590982 675408 689479 787976 886473 1013112 1181964 1378958 1575952 1772946 2026224 2068437 2363928 2757916 3545892 4136874 4727856 5515832 6205311 7091784 8273748 11031664 12410622 14183568 16547496 24821244 33094992 49642488 99284976