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99349056 = 2632173997
BaseRepresentation
bin1011110101111…
…11001001000000
320220221110021200
411322333021000
5200413132211
613505221200
72314311252
oct572771100
9226843250
1099349056
1151097464
1229331800
1317776431
14d2a1cd2
158ac6b56
hex5ebf240

99349056 has 84 divisors (see below), whose sum is σ = 286699452. Its totient is φ = 32891904.

The previous prime is 99349013. The next prime is 99349067. The reversal of 99349056 is 65094399.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88059456 + 11289600 = 9384^2 + 3360^2 .

It is a super-2 number, since 2×993490562 = 19740469856182272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99150 + ... + 100146.

Almost surely, 299349056 is an apocalyptic number.

99349056 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 99349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143349726).

99349056 is an abundant number, since it is smaller than the sum of its proper divisors (187350396).

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

99349056 is a wasteful number, since it uses less digits than its factorization.

99349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 99349056 is about 9967.3996608945. The cubic root of 99349056 is about 463.1495519883.

The spelling of 99349056 in words is "ninety-nine million, three hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 997 1038 1384 1557 1994 2076 2768 2991 3114 3988 4152 5536 5982 6228 7976 8304 8973 11072 11964 12456 15952 16608 17946 23928 24912 31904 33216 35892 47856 49824 63808 71784 95712 99648 143568 172481 191424 287136 344962 517443 574272 689924 1034886 1379848 1552329 2069772 2759696 3104658 4139544 5519392 6209316 8279088 11038784 12418632 16558176 24837264 33116352 49674528 99349056