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442061352 = 23326139741
BaseRepresentation
bin11010010110010…
…101001000101000
31010210211001011200
4122112111020220
51401131430402
6111510524200
713645313415
oct3226251050
91123731150
10442061352
11207594267
12104066660
137077a485
14429d310c
1528c2121c
hex1a595228

442061352 has 24 divisors (see below), whose sum is σ = 1197249690. Its totient is φ = 147353760.

The previous prime is 442061231. The next prime is 442061359. The reversal of 442061352 is 253160244.

442061352 is a `hidden beast` number, since 4 + 42 + 0 + 613 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 440748036 + 1313316 = 20994^2 + 1146^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (442061359) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3069799 + ... + 3069942.

Almost surely, 2442061352 is an apocalyptic number.

It is an amenable number.

442061352 is an abundant number, since it is smaller than the sum of its proper divisors (755188338).

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

442061352 is a wasteful number, since it uses less digits than its factorization.

442061352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139753 (or 6139746 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 442061352 is about 21025.2550995226. The cubic root of 442061352 is about 761.7764032818.

The spelling of 442061352 in words is "four hundred forty-two million, sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6139741 12279482 18419223 24558964 36838446 49117928 55257669 73676892 110515338 147353784 221030676 442061352