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442935612 = 2232717103393
BaseRepresentation
bin11010011001101…
…010100100111100
31010212110110102200
4122121222210330
51401342414422
6111541351500
713655614320
oct3231524474
91125413380
10442935612
11208031099
12104408590
13709c53a2
1442b7d980
1528d452ac
hex1a66a93c

442935612 has 72 divisors (see below), whose sum is σ = 1354874976. Its totient is φ = 119107584.

The previous prime is 442935607. The next prime is 442935641. The reversal of 442935612 is 216539244.

It is a happy number.

442935612 is a `hidden beast` number, since 4 + 4 + 2 + 9 + 35 + 612 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47413 + ... + 55980.

It is an arithmetic number, because the mean of its divisors is an integer number (18817708).

Almost surely, 2442935612 is an apocalyptic number.

442935612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442935612 is an abundant number, since it is smaller than the sum of its proper divisors (911939364).

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

442935612 is a wasteful number, since it uses less digits than its factorization.

442935612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103427 (or 103422 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 442935612 is about 21046.0355411655. The cubic root of 442935612 is about 762.2782582666.

The spelling of 442935612 in words is "four hundred forty-two million, nine hundred thirty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 103393 206786 310179 413572 620358 723751 930537 1240716 1447502 1757681 1861074 2171253 2895004 3515362 3722148 4342506 5273043 6513759 7030724 8685012 10546086 12303767 13027518 15819129 21092172 24607534 26055036 31638258 36911301 49215068 63276516 73822602 110733903 147645204 221467806 442935612