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99346896 = 243211193301
BaseRepresentation
bin1011110101111…
…10100111010000
320220221100022200
411322332213100
5200413100041
613505203200
72314302045
oct572764720
9226840280
1099346896
1151095880
1229330500
131777545c
14d2a11cc
158ac61b6
hex5ebe9d0

99346896 has 120 divisors (see below), whose sum is σ = 319369440. Its totient is φ = 28512000.

The previous prime is 99346889. The next prime is 99346937. The reversal of 99346896 is 69864399.

It is a happy number.

99346896 is a `hidden beast` number, since 9 + 93 + 468 + 96 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28446 + ... + 31746.

It is an arithmetic number, because the mean of its divisors is an integer number (2661412).

Almost surely, 299346896 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 99346896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159684720).

99346896 is an abundant number, since it is smaller than the sum of its proper divisors (220022544).

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

99346896 is a wasteful number, since it uses less digits than its factorization.

99346896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3336 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 99346896 is about 9967.2913070703. The cubic root of 99346896 is about 463.1461954381.

The spelling of 99346896 in words is "ninety-nine million, three hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3301 3344 3762 5016 6602 7524 9903 10032 13204 15048 19806 26408 29709 30096 36311 39612 52816 59418 62719 72622 79224 108933 118836 125438 145244 158448 188157 217866 237672 250876 290488 326799 376314 435732 475344 501752 564471 580976 653598 689909 752628 871464 1003504 1128942 1307196 1379818 1505256 1742928 2069727 2257884 2614392 2759636 3010512 4139454 4515768 5228784 5519272 6209181 8278908 9031536 11038544 12418362 16557816 24836724 33115632 49673448 99346896