Search a number
-
+
99294468 = 223713791151
BaseRepresentation
bin1011110101100…
…01110100000100
320220211200101220
411322301310010
5200404410333
613504120340
72313663150
oct572616404
9226750356
1099294468
115105a449
12293060b0
1317757630
14d28a060
158ab58b3
hex5eb1d04

99294468 has 96 divisors (see below), whose sum is σ = 289013760. Its totient is φ = 25833600.

The previous prime is 99294407. The next prime is 99294487. The reversal of 99294468 is 86449299.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 99294468.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85693 + ... + 86843.

It is an arithmetic number, because the mean of its divisors is an integer number (3010560).

Almost surely, 299294468 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 99294468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506880).

99294468 is an abundant number, since it is smaller than the sum of its proper divisors (189719292).

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

99294468 is a wasteful number, since it uses less digits than its factorization.

99294468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 99294468 is about 9964.6609576041. The cubic root of 99294468 is about 463.0647095795.

The spelling of 99294468 in words is "ninety-nine million, two hundred ninety-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 79 84 91 156 158 182 237 273 316 364 474 546 553 948 1027 1092 1106 1151 1659 2054 2212 2302 3081 3318 3453 4108 4604 6162 6636 6906 7189 8057 12324 13812 14378 14963 16114 21567 24171 28756 29926 32228 43134 44889 48342 59852 86268 89778 90929 96684 104741 179556 181858 209482 272787 314223 363716 418964 545574 628446 636503 1091148 1182077 1256892 1273006 1909509 2364154 2546012 3546231 3819018 4728308 7092462 7638036 8274539 14184924 16549078 24823617 33098156 49647234 99294468