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99429824 = 2613127941
BaseRepresentation
bin1011110110100…
…10110111000000
320221002120002002
411323102313000
5200423223244
613511043132
72315065604
oct573226700
9227076062
1099429824
115114210a
12293704a8
13177a4120
14d2c3504
158ae0a4e
hex5ed2dc0

99429824 has 56 divisors (see below), whose sum is σ = 214384128. Its totient is φ = 45480960.

The previous prime is 99429823. The next prime is 99429829. The reversal of 99429824 is 42892499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99429823) 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, 105194 + ... + 106134.

It is an arithmetic number, because the mean of its divisors is an integer number (3828288).

Almost surely, 299429824 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 99429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107192064).

99429824 is an abundant number, since it is smaller than the sum of its proper divisors (114954304).

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

99429824 is a wasteful number, since it uses less digits than its factorization.

99429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1083 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The square root of 99429824 is about 9971.4504461487. The cubic root of 99429824 is about 463.2750271966.

The spelling of 99429824 in words is "ninety-nine million, four hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 208 254 416 508 832 941 1016 1651 1882 2032 3302 3764 4064 6604 7528 8128 12233 13208 15056 24466 26416 30112 48932 52832 60224 97864 105664 119507 195728 239014 391456 478028 782912 956056 1553591 1912112 3107182 3824224 6214364 7648448 12428728 24857456 49714912 99429824