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99200496 = 24331163409
BaseRepresentation
bin1011110100110…
…10110111110000
320220122220111110
411322122313300
5200343403441
613502113320
72313122163
oct572326760
9226586443
1099200496
1150aa588a
122927b840
1317723925
14d263ada
158a97b16
hex5e9adf0

99200496 has 80 divisors (see below), whose sum is σ = 266808320. Its totient is φ = 31726080.

The previous prime is 99200477. The next prime is 99200509. The reversal of 99200496 is 69400299.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242340 + ... + 242748.

It is an arithmetic number, because the mean of its divisors is an integer number (3335104).

Almost surely, 299200496 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 99200496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133404160).

99200496 is an abundant number, since it is smaller than the sum of its proper divisors (167607824).

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

99200496 is a wasteful number, since it uses less digits than its factorization.

99200496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 99200496 is about 9959.9445781591. The cubic root of 99200496 is about 462.9185824336.

The spelling of 99200496 in words is "ninety-nine million, two hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 163 186 248 326 372 409 489 496 652 744 818 978 1227 1304 1488 1636 1956 2454 2608 3272 3912 4908 5053 6544 7824 9816 10106 12679 15159 19632 20212 25358 30318 38037 40424 50716 60636 66667 76074 80848 101432 121272 133334 152148 200001 202864 242544 266668 304296 400002 533336 608592 800004 1066672 1600008 2066677 3200016 4133354 6200031 8266708 12400062 16533416 24800124 33066832 49600248 99200496