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442505652 = 223330111171
BaseRepresentation
bin11010011000000…
…001100110110100
31010211122121122020
4122120001212310
51401240140102
6111524233140
713652143641
oct3230014664
91124577566
10442505652
11207868056
1210423b7b0
13708a4784
1442aaadc8
1528cacbbc
hex1a6019b4

442505652 has 24 divisors (see below), whose sum is σ = 1032918432. Its totient is φ = 147444000.

The previous prime is 442505641. The next prime is 442505663. The reversal of 442505652 is 256505244.

It is an interprime number because it is at equal distance from previous prime (442505641) and next prime (442505663).

It is a super-2 number, since 2×4425056522 = 391622504103890208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34027 + ... + 45197.

It is an arithmetic number, because the mean of its divisors is an integer number (43038268).

Almost surely, 2442505652 is an apocalyptic number.

It is an amenable number.

442505652 is an abundant number, since it is smaller than the sum of its proper divisors (590412780).

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

442505652 is a wasteful number, since it uses less digits than its factorization.

442505652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14479 (or 14477 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 442505652 is about 21035.8183106814. The cubic root of 442505652 is about 762.0315292029.

The spelling of 442505652 in words is "four hundred forty-two million, five hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 3301 6602 9903 11171 13204 19806 22342 33513 39612 44684 67026 134052 36875471 73750942 110626413 147501884 221252826 442505652