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99131892 = 223191313319
BaseRepresentation
bin1011110100010…
…10000111110100
320220112102101120
411322022013310
5200334210032
613500423540
72312415156
oct572120764
9226472346
1099131892
1150a59292
1229247bb0
13176cb632
14d246ad6
158a8262c
hex5e8a1f4

99131892 has 48 divisors (see below), whose sum is σ = 245414400. Its totient is φ = 31056480.

The previous prime is 99131887. The next prime is 99131897. The reversal of 99131892 is 29813199.

It is an interprime number because it is at equal distance from previous prime (99131887) and next prime (99131897).

It is a super-2 number, since 2×991318922 = 19654264022999328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99131897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28209 + ... + 31527.

It is an arithmetic number, because the mean of its divisors is an integer number (5112800).

Almost surely, 299131892 is an apocalyptic number.

It is a pronic number, being equal to 9956×9957.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99131892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122707200).

99131892 is an abundant number, since it is smaller than the sum of its proper divisors (146282508).

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

99131892 is a wasteful number, since it uses less digits than its factorization.

99131892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3474 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The square root of 99131892 is about 9956.4999874454. The cubic root of 99131892 is about 462.8118444249.

The spelling of 99131892 in words is "ninety-nine million, one hundred thirty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 131 228 262 393 524 786 1572 2489 3319 4978 6638 7467 9956 9957 13276 14934 19914 29868 39828 63061 126122 189183 252244 378366 434789 756732 869578 1304367 1739156 2608734 5217468 8260991 16521982 24782973 33043964 49565946 99131892