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99000825 = 35272113179
BaseRepresentation
bin1011110011010…
…10000111111001
320220021202121020
411321222013321
5200321011300
613453533053
72311331100
oct571520771
9226252536
1099000825
1150979870
12291a4189
1317683a91
14d211037
158a588a0
hex5e6a1f9

99000825 has 144 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 39312000.

The previous prime is 99000817. The next prime is 99000851. The reversal of 99000825 is 52800099.

It is not a de Polignac number, because 99000825 - 23 = 99000817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1253136 + ... + 1253214.

It is an arithmetic number, because the mean of its divisors is an integer number (1507840).

Almost surely, 299000825 is an apocalyptic number.

It is an amenable number.

99000825 is an abundant number, since it is smaller than the sum of its proper divisors (118128135).

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

99000825 is a wasteful number, since it uses less digits than its factorization.

99000825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 99000825 is about 9949.9158287897. The cubic root of 99000825 is about 462.6077859328.

99000825 divided by its sum of digits (33) gives a triangular number (3000025 = T2449).

The spelling of 99000825 in words is "ninety-nine million, eight hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 11 15 21 25 31 33 35 49 55 75 77 79 93 105 147 155 165 175 217 231 237 245 275 341 385 395 465 525 539 553 651 735 775 825 869 1023 1085 1155 1185 1225 1519 1617 1659 1705 1925 1975 2325 2387 2449 2607 2695 2765 3255 3675 3871 4345 4557 5115 5425 5775 5925 6083 7161 7347 7595 8085 8295 8525 11613 11935 12245 13035 13475 13825 16275 16709 17143 18249 19355 21725 22785 25575 26939 30415 35805 36735 37975 40425 41475 42581 50127 51429 58065 59675 61225 65175 80817 83545 85715 91245 96775 113925 120001 127743 134695 152075 179025 183675 188573 212905 250635 257145 290325 360003 404085 417725 428575 456225 565719 600005 638715 673475 942865 1064525 1253175 1285725 1320011 1800015 2020425 2828595 3000025 3193575 3960033 4714325 6600055 9000075 14142975 19800165 33000275 99000825