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99825696 = 2534192027
BaseRepresentation
bin1011111001100…
…11100000100000
320221211200010000
411330303200200
5201023410241
613523340000
72321335005
oct574634040
9227750100
1099825696
1151392583
1229521600
13178b2379
14d3878ac
158b6ceb6
hex5f33820

99825696 has 120 divisors (see below), whose sum is σ = 309188880. Its totient is φ = 31508352.

The previous prime is 99825689. The next prime is 99825731. The reversal of 99825696 is 69652899.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48235 + ... + 50261.

It is an arithmetic number, because the mean of its divisors is an integer number (2576574).

Almost surely, 299825696 is an apocalyptic number.

99825696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154594440).

99825696 is an abundant number, since it is smaller than the sum of its proper divisors (209363184).

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

99825696 is a wasteful number, since it uses less digits than its factorization.

99825696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2051 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 99825696 is about 9991.2809989510. The cubic root of 99825696 is about 463.8890440202.

The spelling of 99825696 in words is "ninety-nine million, eight hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2027 2052 2592 2736 3078 4054 4104 5472 6081 6156 8108 8208 12162 12312 16216 16416 18243 24324 24624 32432 36486 38513 48648 49248 54729 64864 72972 77026 97296 109458 115539 145944 154052 164187 194592 218916 231078 291888 308104 328374 346617 437832 462156 583776 616208 656748 693234 875664 924312 1039851 1232416 1313496 1386468 1751328 1848624 2079702 2626992 2772936 3119553 3697248 4159404 5253984 5545872 6239106 8318808 11091744 12478212 16637616 24956424 33275232 49912848 99825696