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99979984 = 2413598147
BaseRepresentation
bin1011111010110…
…01001011010000
320222010111202101
411331121023100
5201043324414
613530530144
72322546556
oct575311320
9228114671
1099979984
1151488495
1229596954
1317937670
14d3c7bd6
158b9da74
hex5f592d0

99979984 has 40 divisors (see below), whose sum is σ = 212173920. Its totient is φ = 45356928.

The previous prime is 99979981. The next prime is 99979993. The reversal of 99979984 is 48997999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99979981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8199 + ... + 16345.

It is an arithmetic number, because the mean of its divisors is an integer number (5304348).

Almost surely, 299979984 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 99979984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106086960).

99979984 is an abundant number, since it is smaller than the sum of its proper divisors (112193936).

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

99979984 is a wasteful number, since it uses less digits than its factorization.

99979984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8227 (or 8221 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 64.

The square root of 99979984 is about 9998.9991499150. Note that the first 3 decimals coincide. The cubic root of 99979984 is about 464.1279126141.

The spelling of 99979984 in words is "ninety-nine million, nine hundred seventy-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 208 236 472 767 944 1534 3068 6136 8147 12272 16294 32588 65176 105911 130352 211822 423644 480673 847288 961346 1694576 1922692 3845384 6248749 7690768 12497498 24994996 49989992 99979984