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42246432 = 25323832
BaseRepresentation
bin1010000100101…
…0000100100000
32221111100012200
42201022010200
541303341212
64105253200
71022042304
oct241120440
987440180
1042246432
1121935408
1212194200
1389a21b7
145879d04
153a976dc
hex284a120

42246432 has 54 divisors (see below), whose sum is σ = 120452787. Its totient is φ = 14045376.

The previous prime is 42246403. The next prime is 42246433. The reversal of 42246432 is 23464224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42246432 is a `hidden beast` number, since 4 + 224 + 6 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21123216 + 21123216 = 4596^2 + 4596^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4596.

It is a super-2 number, since 2×422464322 = 3569522033461248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42246396 and 42246405.

It is not an unprimeable number, because it can be changed into a prime (42246433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110113 + ... + 110495.

Almost surely, 242246432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42246432

42246432 is an abundant number, since it is smaller than the sum of its proper divisors (78206355).

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

42246432 is an equidigital number, since it uses as much as digits as its factorization.

42246432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 388 counting only the distinct ones).

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

The square root of 42246432 is about 6499.7255326667. The cubic root of 42246432 is about 348.2811837612.

The spelling of 42246432 in words is "forty-two million, two hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 383 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 12256 13788 18384 27576 36768 55152 110304 146689 293378 440067 586756 880134 1173512 1320201 1760268 2347024 2640402 3520536 4694048 5280804 7041072 10561608 14082144 21123216 42246432