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413655444 = 223331123553
BaseRepresentation
bin11000101001111…
…110000110010100
31001211100212121000
4120221332012110
51321343433234
6105014023300
713152004356
oct3051760624
91054325530
10413655444
111a2552504
12b6647b30
1367912c47
143cd1b0d6
15264ae899
hex18a7e194

413655444 has 48 divisors (see below), whose sum is σ = 1107043840. Its totient is φ = 133436160.

The previous prime is 413655427. The next prime is 413655461. The reversal of 413655444 is 444556314.

It is an interprime number because it is at equal distance from previous prime (413655427) and next prime (413655461).

It is a super-2 number, since 2×4136554442 = 342221652701674272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 413655399 and 413655408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58429 + ... + 65124.

Almost surely, 2413655444 is an apocalyptic number.

It is an amenable number.

413655444 is an abundant number, since it is smaller than the sum of its proper divisors (693388396).

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

413655444 is a wasteful number, since it uses less digits than its factorization.

413655444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123597 (or 123589 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 413655444 is about 20338.5211851796. The cubic root of 413655444 is about 745.0971715361.

The spelling of 413655444 in words is "four hundred thirteen million, six hundred fifty-five thousand, four hundred forty-four".

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 123553 247106 370659 494212 741318 1111977 1482636 2223954 3335931 3830143 4447908 6671862 7660286 11490429 13343724 15320572 22980858 34471287 45961716 68942574 103413861 137885148 206827722 413655444