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99493146 = 23217541601
BaseRepresentation
bin1011110111000…
…10010100011010
320221012202221100
411323202110122
5200432240041
613512252230
72315451324
oct573422432
9227182840
1099493146
1151185745
12293a1076
13177c6bac
14d2dc614
158b046b6
hex5ee251a

99493146 has 48 divisors (see below), whose sum is σ = 229051368. Its totient is φ = 31104000.

The previous prime is 99493109. The next prime is 99493151. The reversal of 99493146 is 64139499.

It can be written as a sum of positive squares in 4 ways, for example, as 98307225 + 1185921 = 9915^2 + 1089^2 .

It is a super-2 number, since 2×994931462 = 19797772201954632, which contains 22 as substring.

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, 165246 + ... + 165846.

Almost surely, 299493146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99493146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114525684).

99493146 is an abundant number, since it is smaller than the sum of its proper divisors (129558222).

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

99493146 is a wasteful number, since it uses less digits than its factorization.

99493146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1164 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 99493146 is about 9974.6251057371. The cubic root of 99493146 is about 463.3733520748.

The spelling of 99493146 in words is "ninety-nine million, four hundred ninety-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 541 601 1082 1202 1623 1803 3246 3606 4869 5409 9197 9738 10217 10818 18394 20434 27591 30651 55182 61302 82773 91953 165546 183906 325141 650282 975423 1950846 2926269 5527397 5852538 11054794 16582191 33164382 49746573 99493146