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99919296 = 2632414231
BaseRepresentation
bin1011111010010…
…10010111000000
320222000102111200
411331022113000
5201034404141
613525341200
72322204621
oct575122700
9228012450
1099919296
1151446934
1229567800
1317915b59
14d3ada48
158b8aab6
hex5f4a5c0

99919296 has 84 divisors (see below), whose sum is σ = 293455344. Its totient is φ = 32486400.

The previous prime is 99919289. The next prime is 99919307. The reversal of 99919296 is 69291999.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 21501 + ... + 25731.

It is an arithmetic number, because the mean of its divisors is an integer number (3493516).

Almost surely, 299919296 is an apocalyptic number.

99919296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99919296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146727672).

99919296 is an abundant number, since it is smaller than the sum of its proper divisors (193536048).

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

99919296 is a wasteful number, since it uses less digits than its factorization.

99919296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4277 counting only the distinct ones).

The product of its digits is 708588, while the sum is 54.

The square root of 99919296 is about 9995.9639855294. The cubic root of 99919296 is about 464.0339848275.

The spelling of 99919296 in words is "ninety-nine million, nine hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 4231 5904 7872 8462 11808 12693 16924 23616 25386 33848 38079 50772 67696 76158 101544 135392 152316 173471 203088 270784 304632 346942 406176 520413 609264 693884 812352 1040826 1218528 1387768 1561239 2081652 2437056 2775536 3122478 4163304 5551072 6244956 8326608 11102144 12489912 16653216 24979824 33306432 49959648 99919296