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94204008 = 23326189241
BaseRepresentation
bin1011001110101…
…11000001101000
320120021001121100
411213113001220
5143104012013
613203041400
72222502153
oct547270150
9216231540
1094204008
11491a2958
1227670260
1316694622
14c722c9a
15840c473
hex59d7068

94204008 has 96 divisors (see below), whose sum is σ = 263320200. Its totient is φ = 30412800.

The previous prime is 94203979. The next prime is 94204031. The reversal of 94204008 is 80040249.

It can be written as a sum of positive squares in 4 ways, for example, as 52446564 + 41757444 = 7242^2 + 6462^2 .

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 23 ways as a sum of consecutive naturals, for example, 390768 + ... + 391008.

Almost surely, 294204008 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 94204008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131660100).

94204008 is an abundant number, since it is smaller than the sum of its proper divisors (169116192).

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

94204008 is a wasteful number, since it uses less digits than its factorization.

94204008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 94204008 is about 9705.8749219223. The cubic root of 94204008 is about 455.0122896491.

The spelling of 94204008 in words is "ninety-four million, two hundred four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 89 122 178 183 241 244 267 356 366 482 488 534 549 712 723 732 801 964 1068 1098 1446 1464 1602 1928 2136 2169 2196 2892 3204 4338 4392 5429 5784 6408 8676 10858 14701 16287 17352 21449 21716 29402 32574 42898 43432 44103 48861 58804 64347 65148 85796 88206 97722 117608 128694 130296 132309 171592 176412 193041 195444 257388 264618 352824 386082 390888 514776 529236 772164 1058472 1308389 1544328 2616778 3925167 5233556 7850334 10467112 11775501 15700668 23551002 31401336 47102004 94204008