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442180413 = 321131313319
BaseRepresentation
bin11010010110110…
…010001100111101
31010211001002111100
4122112302030331
51401144233123
6111513243313
713646320503
oct3226621475
91124032440
10442180413
11207665764
12104103539
13707bc71c
1442a24673
1528c46643
hex1a5b233d

442180413 has 24 divisors (see below), whose sum is σ = 649471680. Its totient is φ = 289860480.

The previous prime is 442180411. The next prime is 442180423. The reversal of 442180413 is 314081244.

442180413 is a `hidden beast` number, since 442 + 180 + 41 + 3 = 666.

It is not a de Polignac number, because 442180413 - 21 = 442180411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442180411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131568 + ... + 134886.

It is an arithmetic number, because the mean of its divisors is an integer number (27061320).

Almost surely, 2442180413 is an apocalyptic number.

It is an amenable number.

442180413 is a deficient number, since it is larger than the sum of its proper divisors (207291267).

442180413 is a wasteful number, since it uses less digits than its factorization.

442180413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 442180413 is about 21028.0862895319. The cubic root of 442180413 is about 761.8447872430.

The spelling of 442180413 in words is "four hundred forty-two million, one hundred eighty thousand, four hundred thirteen".

Divisors: 1 3 9 113 131 339 393 1017 1179 3319 9957 14803 29871 44409 133227 375047 434789 1125141 1304367 3375423 3913101 49131157 147393471 442180413