Search a number
-
+
99416412 = 22322761567
BaseRepresentation
bin1011110110011…
…11100101011100
320221001212200100
411323033211130
5200422311122
613510501100
72315011524
oct573174534
9227055610
1099416412
1151133027
1229364790
131779aca4
14d2bc684
158adbaac
hex5ecf95c

99416412 has 18 divisors (see below), whose sum is σ = 251302688. Its totient is φ = 33138792.

The previous prime is 99416407. The next prime is 99416413. The reversal of 99416412 is 21461499.

It is a happy number.

99416412 is a `hidden beast` number, since 9 + 9 + 4 + 1 + 641 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×994164123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2761567 = 99416412 / (9 + 9 + 4 + 1 + 6 + 4 + 1 + 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99416413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1380748 + ... + 1380819.

Almost surely, 299416412 is an apocalyptic number.

It is an amenable number.

99416412 is an abundant number, since it is smaller than the sum of its proper divisors (151886276).

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

99416412 is a wasteful number, since it uses less digits than its factorization.

99416412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761577 (or 2761572 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 99416412 is about 9970.7779034537. Note that the first 3 decimals coincide. The cubic root of 99416412 is about 463.2541960086.

The spelling of 99416412 in words is "ninety-nine million, four hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2761567 5523134 8284701 11046268 16569402 24854103 33138804 49708206 99416412