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92630304 = 2534132749
BaseRepresentation
bin1011000010101…
…10110100100000
320110022002220000
411201112310200
5142203132204
613105220000
72203226124
oct541266440
9213262800
1092630304
1148318578
1227031600
1316263240
14c433584
1581eb039
hex5856d20

92630304 has 120 divisors (see below), whose sum is σ = 293485500. Its totient is φ = 28491264.

The previous prime is 92630303. The next prime is 92630309. The reversal of 92630304 is 40303629.

It can be written as a sum of positive squares in 2 ways, for example, as 77792400 + 14837904 = 8820^2 + 3852^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (92630303) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 32322 + ... + 35070.

Almost surely, 292630304 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 92630304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146742750).

92630304 is an abundant number, since it is smaller than the sum of its proper divisors (200855196).

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

92630304 is a wasteful number, since it uses less digits than its factorization.

92630304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 92630304 is about 9624.4638292219. The cubic root of 92630304 is about 452.4643464679.

The spelling of 92630304 in words is "ninety-two million, six hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2749 2808 3744 4212 5498 5616 8247 8424 10996 11232 16494 16848 21992 24741 32988 33696 35737 43984 49482 65976 71474 74223 87968 98964 107211 131952 142948 148446 197928 214422 222669 263904 285896 296892 321633 395856 428844 445338 571792 593784 643266 791712 857688 890676 964899 1143584 1187568 1286532 1715376 1781352 1929798 2375136 2573064 2894697 3430752 3562704 3859596 5146128 5789394 7125408 7719192 10292256 11578788 15438384 23157576 30876768 46315152 92630304