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42024996 = 22321389797
BaseRepresentation
bin1010000001010…
…0000000100100
32221002002110100
42200110000210
541224244441
64100424100
71020130566
oct240240044
987062410
1042024996
11217a4002
12120a8030
138925480
14581d336
153a51cb6
hex2814024

42024996 has 36 divisors (see below), whose sum is σ = 114402652. Its totient is φ = 12930624.

The previous prime is 42024991. The next prime is 42025001. The reversal of 42024996 is 69942024.

It is an interprime number because it is at equal distance from previous prime (42024991) and next prime (42025001).

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 34928100 = 2664^2 + 5910^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×420249962 = 3532200577600032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42024996.

It is not an unprimeable number, because it can be changed into a prime (42024991) 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, 44431 + ... + 45366.

Almost surely, 242024996 is an apocalyptic number.

It is an amenable number.

42024996 is an abundant number, since it is smaller than the sum of its proper divisors (72377656).

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

42024996 is a wasteful number, since it uses less digits than its factorization.

42024996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89820 (or 89815 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 42024996 is about 6482.6688948303. The cubic root of 42024996 is about 347.6716085609.

The spelling of 42024996 in words is "forty-two million, twenty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 89797 179594 269391 359188 538782 808173 1077564 1167361 1616346 2334722 3232692 3502083 4669444 7004166 10506249 14008332 21012498 42024996