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413816148 = 223331123601
BaseRepresentation
bin11000101010100…
…101010101010100
31001211200001001000
4120222211111110
51321414104043
6105021303300
713153244034
oct3052452524
91054601030
10413816148
111a2652219
12b6704b30
136796b135
143cd5d8c4
15264e22d3
hex18aa5554

413816148 has 48 divisors (see below), whose sum is σ = 1107473920. Its totient is φ = 133488000.

The previous prime is 413816129. The next prime is 413816191. The reversal of 413816148 is 841618314.

It is a happy number.

413816148 is a `hidden beast` number, since 4 + 1 + 38 + 1 + 614 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58453 + ... + 65148.

Almost surely, 2413816148 is an apocalyptic number.

It is an amenable number.

413816148 is an abundant number, since it is smaller than the sum of its proper divisors (693657772).

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

413816148 is a wasteful number, since it uses less digits than its factorization.

413816148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123645 (or 123637 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 413816148 is about 20342.4715312570. The cubic root of 413816148 is about 745.1936484428.

The spelling of 413816148 in words is "four hundred thirteen million, eight hundred sixteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 123601 247202 370803 494404 741606 1112409 1483212 2224818 3337227 3831631 4449636 6674454 7663262 11494893 13348908 15326524 22989786 34484679 45979572 68969358 103454037 137938716 206908074 413816148