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99092304 = 24322961389
BaseRepresentation
bin1011110100000…
…00011101010000
320220110102002100
411322000131100
5200331423204
613455520400
72312161563
oct572003520
9226412070
1099092304
1150a31573
1229229100
13176b65cc
14d2364da
158a75a39
hex5e80750

99092304 has 120 divisors (see below), whose sum is σ = 292336200. Its totient is φ = 31288320.

The previous prime is 99092293. The next prime is 99092341. The reversal of 99092304 is 40329099.

It can be written as a sum of positive squares in 4 ways, for example, as 129600 + 98962704 = 360^2 + 9948^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254542 + ... + 254930.

It is an arithmetic number, because the mean of its divisors is an integer number (2436135).

Almost surely, 299092304 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 99092304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146168100).

99092304 is an abundant number, since it is smaller than the sum of its proper divisors (193243896).

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

99092304 is a wasteful number, since it uses less digits than its factorization.

99092304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 99092304 is about 9954.5117409143. The cubic root of 99092304 is about 462.7502287518.

The spelling of 99092304 in words is "ninety-nine million, ninety-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 61 72 87 116 122 144 174 183 232 244 261 348 366 389 464 488 522 549 696 732 778 976 1044 1098 1167 1392 1464 1556 1769 2088 2196 2334 2928 3112 3501 3538 4176 4392 4668 5307 6224 7002 7076 8784 9336 10614 11281 14004 14152 15921 18672 21228 22562 23729 28008 28304 31842 33843 42456 45124 47458 56016 63684 67686 71187 84912 90248 94916 101529 127368 135372 142374 180496 189832 203058 213561 254736 270744 284748 379664 406116 427122 541488 569496 688141 812232 854244 1138992 1376282 1624464 1708488 2064423 2752564 3416976 4128846 5505128 6193269 8257692 11010256 12386538 16515384 24773076 33030768 49546152 99092304