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99000608 = 2573153269
BaseRepresentation
bin1011110011010…
…10000100100000
320220021202022012
411321222010200
5200321004413
613453532052
72311330340
oct571520440
9226252265
1099000608
1150979693
12291a4028
1317683955
14d210d20
158a587a8
hex5e6a120

99000608 has 96 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 40135680.

The previous prime is 99000599. The next prime is 99000619. The reversal of 99000608 is 80600099.

It is a happy number.

It is a super-2 number, since 2×990006082 = 19602240768739328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 367898 + ... + 368166.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 299000608 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 99000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

99000608 is an abundant number, since it is smaller than the sum of its proper divisors (136145632).

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

99000608 is a wasteful number, since it uses less digits than its factorization.

99000608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 99000608 is about 9949.9049241689. The cubic root of 99000608 is about 462.6074479357.

The spelling of 99000608 in words is "ninety-nine million, six hundred eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 31 32 53 56 62 106 112 124 212 217 224 248 269 371 424 434 496 538 742 848 868 992 1076 1484 1643 1696 1736 1883 2152 2968 3286 3472 3766 4304 5936 6572 6944 7532 8339 8608 11501 11872 13144 14257 15064 16678 23002 26288 28514 30128 33356 46004 52576 57028 58373 60256 66712 92008 99799 114056 116746 133424 184016 199598 228112 233492 266848 368032 399196 441967 456224 466984 798392 883934 933968 1596784 1767868 1867936 3093769 3193568 3535736 6187538 7071472 12375076 14142944 24750152 49500304 99000608