Search a number
-
+
99433872 = 2433337683
BaseRepresentation
bin1011110110100…
…11110110010000
320221002202122000
411323103312100
5200423340442
613511114000
72315113446
oct573236620
9227082560
1099433872
115114515a
1229372900
13177a5c15
14d2c4b96
158ae1d4c
hex5ed3d90

99433872 has 80 divisors (see below), whose sum is σ = 286678080. Its totient is φ = 32997888.

The previous prime is 99433849. The next prime is 99433877. The reversal of 99433872 is 27833499.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99433877) 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, 145243 + ... + 145925.

It is an arithmetic number, because the mean of its divisors is an integer number (3583476).

Almost surely, 299433872 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 99433872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143339040).

99433872 is an abundant number, since it is smaller than the sum of its proper divisors (187244208).

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

99433872 is a wasteful number, since it uses less digits than its factorization.

99433872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 99433872 is about 9971.6534235803. The cubic root of 99433872 is about 463.2813140824.

The spelling of 99433872 in words is "ninety-nine million, four hundred thirty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 337 432 674 683 1011 1348 1366 2022 2049 2696 2732 3033 4044 4098 5392 5464 6066 6147 8088 8196 9099 10928 12132 12294 16176 16392 18198 18441 24264 24588 32784 36396 36882 48528 49176 72792 73764 98352 145584 147528 230171 295056 460342 690513 920684 1381026 1841368 2071539 2762052 3682736 4143078 5524104 6214617 8286156 11048208 12429234 16572312 24858468 33144624 49716936 99433872