Search a number
-
+
442538052 = 2231118312
BaseRepresentation
bin11010011000001…
…001100001000100
31010211201021002020
4122120021201010
51401242204202
6111525043140
713652340255
oct3230114104
91124637066
10442538052
1120788a430
121042564b0
13708b6448
1442ab8b2c
1528cb75bc
hex1a609844

442538052 has 36 divisors (see below), whose sum is σ = 1127076048. Its totient is φ = 134029200.

The previous prime is 442538039. The next prime is 442538059. The reversal of 442538052 is 250835244.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (442538059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240777 + ... + 242607.

It is an arithmetic number, because the mean of its divisors is an integer number (31307668).

Almost surely, 2442538052 is an apocalyptic number.

It is an amenable number.

442538052 is an abundant number, since it is smaller than the sum of its proper divisors (684537996).

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

442538052 is a wasteful number, since it uses less digits than its factorization.

442538052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 442538052 is about 21036.5884116223. The cubic root of 442538052 is about 762.0501272471.

Multiplying 442538052 by its sum of digits (33), we get a square (14603755716 = 1208462).

442538052 divided by its sum of digits (33) gives a square (13410244 = 36622).

The spelling of 442538052 in words is "four hundred forty-two million, five hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1831 3662 5493 7324 10986 20141 21972 40282 60423 80564 120846 241692 3352561 6705122 10057683 13410244 20115366 36878171 40230732 73756342 110634513 147512684 221269026 442538052