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99347776 = 2611212829
BaseRepresentation
bin1011110101111…
…10110101000000
320220221101112021
411322332311000
5200413112101
613505211224
72314304443
oct572766500
9226841467
1099347776
1151096500
1229330b14
1317775988
14d2a165a
158ac65a1
hex5ebed40

99347776 has 42 divisors (see below), whose sum is σ = 216711530. Its totient is φ = 45154560.

The previous prime is 99347771. The next prime is 99347783. The reversal of 99347776 is 67774399.

It can be written as a sum of positive squares in only one way, i.e., 93702400 + 5645376 = 9680^2 + 2376^2 .

It is a super-2 number, since 2×993477762 = 19739961192292352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99347771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1330 + ... + 14158.

Almost surely, 299347776 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 99347776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108355765).

99347776 is an abundant number, since it is smaller than the sum of its proper divisors (117363754).

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

99347776 is a wasteful number, since it uses less digits than its factorization.

99347776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12863 (or 12842 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 52.

The square root of 99347776 is about 9967.3354513631. The cubic root of 99347776 is about 463.1475629274.

The spelling of 99347776 in words is "ninety-nine million, three hundred forty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 12829 25658 51316 102632 141119 205264 282238 410528 564476 821056 1128952 1552309 2257904 3104618 4515808 6209236 9031616 12418472 24836944 49673888 99347776