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462423042 = 23240216389
BaseRepresentation
bin11011100100000…
…000010000000010
31012020010112011100
4123210000100002
51421340014132
6113515155230
714313350064
oct3344002002
91166115140
10462423042
11218031304
1210aa45b16
1374a59403
14455b3734
152a8e437c
hex1b900402

462423042 has 24 divisors (see below), whose sum is σ = 1002322620. Its totient is φ = 154078560.

The previous prime is 462423023. The next prime is 462423131. The reversal of 462423042 is 240324264.

462423042 is a `hidden beast` number, since 4 + 624 + 2 + 30 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 299324601 + 163098441 = 17301^2 + 12771^2 .

It is a junction number, because it is equal to n+sod(n) for n = 462422997 and 462423015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69184 + ... + 75572.

Almost surely, 2462423042 is an apocalyptic number.

462423042 is an abundant number, since it is smaller than the sum of its proper divisors (539899578).

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

462423042 is a wasteful number, since it uses less digits than its factorization.

462423042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 462423042 is about 21504.0238560136. The cubic root of 462423042 is about 773.2972910191.

It can be divided in two parts, 46242 and 3042, that added together give a square (49284 = 2222).

The spelling of 462423042 in words is "four hundred sixty-two million, four hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 4021 6389 8042 12063 12778 19167 24126 36189 38334 57501 72378 115002 25690169 51380338 77070507 154141014 231211521 462423042