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142564824 = 23321980067
BaseRepresentation
bin10000111111101…
…01110111011000
3100221021001011200
420133311313120
5242444033244
622051354200
73350531613
oct1037656730
9327231150
10142564824
1173524076
123b8b2960
13236c78ac
1414d1117a
15c7b1669
hex87f5dd8

142564824 has 24 divisors (see below), whose sum is σ = 386113260. Its totient is φ = 47521584.

The previous prime is 142564819. The next prime is 142564843. The reversal of 142564824 is 428465241.

142564824 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 648 + 2 + 4 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 989962 + ... + 990105.

Almost surely, 2142564824 is an apocalyptic number.

It is an amenable number.

142564824 is an abundant number, since it is smaller than the sum of its proper divisors (243548436).

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

142564824 is a wasteful number, since it uses less digits than its factorization.

142564824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980079 (or 1980072 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 142564824 is about 11940.0512561714. The cubic root of 142564824 is about 522.4011537411.

The spelling of 142564824 in words is "one hundred forty-two million, five hundred sixty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1980067 3960134 5940201 7920268 11880402 15840536 17820603 23760804 35641206 47521608 71282412 142564824