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442545640 = 235101109541
BaseRepresentation
bin11010011000001…
…011010111101000
31010211201122111021
4122120023113220
51401242430030
6111525142224
713652401345
oct3230132750
91124648437
10442545640
112078950a9
1210425a974
13708b9a34
1442abb7cc
1528cb997a
hex1a60b5e8

442545640 has 32 divisors (see below), whose sum is σ = 1005595560. Its totient is φ = 175264000.

The previous prime is 442545589. The next prime is 442545659. The reversal of 442545640 is 46545244.

It can be written as a sum of positive squares in 4 ways, for example, as 378769444 + 63776196 = 19462^2 + 7986^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442545596 and 442545605.

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, 50731 + ... + 58810.

Almost surely, 2442545640 is an apocalyptic number.

442545640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442545640 is an abundant number, since it is smaller than the sum of its proper divisors (563049920).

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

442545640 is a wasteful number, since it uses less digits than its factorization.

442545640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109653 (or 109649 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 442545640 is about 21036.7687632868. The cubic root of 442545640 is about 762.0544827319.

It can be divided in two parts, 44254 and 5640, that added together give a palindrome (49894).

The spelling of 442545640 in words is "four hundred forty-two million, five hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 109541 219082 438164 547705 876328 1095410 2190820 4381640 11063641 22127282 44254564 55318205 88509128 110636410 221272820 442545640