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42643968 = 29327763
BaseRepresentation
bin1010001010101…
…1001000000000
32222020112112020
42202223020000
541404101333
64122001440
71025316303
oct242531000
988215466
1042643968
1122087054
1212346280
138ab1123
145940b3a
153b253b3
hex28ab200

42643968 has 40 divisors (see below), whose sum is σ = 113610288. Its totient is φ = 14214144.

The previous prime is 42643927. The next prime is 42643969. The reversal of 42643968 is 86934624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42643969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12346 + ... + 15417.

Almost surely, 242643968 is an apocalyptic number.

42643968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42643968 is an abundant number, since it is smaller than the sum of its proper divisors (70966320).

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

42643968 is an equidigital number, since it uses as much as digits as its factorization.

42643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27784 (or 27768 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 42643968 is about 6530.2349115480. The cubic root of 42643968 is about 349.3702089283.

The spelling of 42643968 in words is "forty-two million, six hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 27763 55526 83289 111052 166578 222104 333156 444208 666312 888416 1332624 1776832 2665248 3553664 5330496 7107328 10660992 14214656 21321984 42643968