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442495921 = 72194611031
BaseRepresentation
bin11010010111111…
…111001110110001
31010211122010021211
4122113333032301
51401234332141
6111524120121
713652103400
oct3227771661
91124563254
10442495921
1120786080a
12104236041
13708a020a
1442aa7637
1528ca9d81
hex1a5ff3b1

442495921 has 24 divisors (see below), whose sum is σ = 543533760. Its totient is φ = 358192800.

The previous prime is 442495901. The next prime is 442495951. The reversal of 442495921 is 129594244.

It is not a de Polignac number, because 442495921 - 29 = 442495409 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (442495901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428676 + ... + 429706.

It is an arithmetic number, because the mean of its divisors is an integer number (22647240).

Almost surely, 2442495921 is an apocalyptic number.

It is an amenable number.

442495921 is a deficient number, since it is larger than the sum of its proper divisors (101037839).

442495921 is a wasteful number, since it uses less digits than its factorization.

442495921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1518 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 442495921 is about 21035.5870134399. The cubic root of 442495921 is about 762.0259432982.

The spelling of 442495921 in words is "four hundred forty-two million, four hundred ninety-five thousand, nine hundred twenty-one".

Divisors: 1 7 19 49 133 461 931 1031 3227 7217 8759 19589 22589 50519 61313 137123 429191 475291 959861 3327037 9030529 23289259 63213703 442495921