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99629046 = 232111971373
BaseRepresentation
bin1011111000000…
…11011111110110
320221110200100200
411330003133312
5201001112141
613515221330
72316555456
oct574033766
9227420320
1099629046
1151268860
1229447846
13178439ca
14d335d66
158b2eab6
hex5f037f6

99629046 has 96 divisors (see below), whose sum is σ = 252046080. Its totient is φ = 28123200.

The previous prime is 99629039. The next prime is 99629053. The reversal of 99629046 is 64092699.

It is an interprime number because it is at equal distance from previous prime (99629039) and next prime (99629053).

It is a junction number, because it is equal to n+sod(n) for n = 99628992 and 99629010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266916 + ... + 267288.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 299629046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99629046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126023040).

99629046 is an abundant number, since it is smaller than the sum of its proper divisors (152417034).

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

99629046 is a wasteful number, since it uses less digits than its factorization.

99629046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 99629046 is about 9981.4350671634. The cubic root of 99629046 is about 463.5842335642.

The spelling of 99629046 in words is "ninety-nine million, six hundred twenty-nine thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 71 99 114 142 171 198 209 213 342 373 418 426 627 639 746 781 1119 1254 1278 1349 1562 1881 2238 2343 2698 3357 3762 4047 4103 4686 6714 7029 7087 8094 8206 12141 12309 14058 14174 14839 21261 24282 24618 26483 29678 36927 42522 44517 52966 63783 73854 77957 79449 89034 127566 133551 155914 158898 233871 238347 267102 291313 467742 476694 503177 582626 701613 873939 1006354 1403226 1509531 1747878 2621817 3019062 4528593 5243634 5534947 9057186 11069894 16604841 33209682 49814523 99629046