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99942984 = 233617137
BaseRepresentation
bin1011111010100…
…00001001001000
320222001122000000
411331100021020
5201041133414
613530043000
72322333651
oct575201110
9228048000
1099942984
1151462709
1229579460
131792387b
14d3b8528
158b92b09
hex5f50248

99942984 has 56 divisors (see below), whose sum is σ = 280977510. Its totient is φ = 33312384.

The previous prime is 99942923. The next prime is 99943013. The reversal of 99942984 is 48924999.

It can be written as a sum of positive squares in only one way, i.e., 99800100 + 142884 = 9990^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 99942984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2737 + ... + 14400.

Almost surely, 299942984 is an apocalyptic number.

It is an amenable number.

99942984 is an abundant number, since it is smaller than the sum of its proper divisors (181034526).

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

99942984 is a wasteful number, since it uses less digits than its factorization.

99942984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17161 (or 17142 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 99942984 is about 9997.1487935311. The cubic root of 99942984 is about 464.0706516474.

The spelling of 99942984 in words is "ninety-nine million, nine hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 17137 34274 51411 68548 102822 137096 154233 205644 308466 411288 462699 616932 925398 1233864 1388097 1850796 2776194 3701592 4164291 5552388 8328582 11104776 12492873 16657164 24985746 33314328 49971492 99942984