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413792442 = 23371094689
BaseRepresentation
bin11000101010011…
…111100010111010
31001211121211112000
4120222133202322
51321412324232
6105021001430
713153114650
oct3052374272
91054554460
10413792442
111a2636428
12b66b3276
13679603cb
143cd54dd0
15264da27c
hex18a9f8ba

413792442 has 32 divisors (see below), whose sum is σ = 1050902400. Its totient is φ = 118226304.

The previous prime is 413792419. The next prime is 413792443. The reversal of 413792442 is 244297314.

413792442 is a `hidden beast` number, since 41 + 379 + 244 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413792397 and 413792406.

It is not an unprimeable number, because it can be changed into a prime (413792443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546967 + ... + 547722.

It is an arithmetic number, because the mean of its divisors is an integer number (32840700).

Almost surely, 2413792442 is an apocalyptic number.

413792442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

413792442 is an abundant number, since it is smaller than the sum of its proper divisors (637109958).

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

413792442 is a wasteful number, since it uses less digits than its factorization.

413792442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094707 (or 1094701 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 413792442 is about 20341.8888503502. Note that the first 4 decimals coincide. The cubic root of 413792442 is about 745.1794183730.

The spelling of 413792442 in words is "four hundred thirteen million, seven hundred ninety-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1094689 2189378 3284067 6568134 7662823 9852201 15325646 19704402 22988469 29556603 45976938 59113206 68965407 137930814 206896221 413792442