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42433968 = 2433723893
BaseRepresentation
bin1010000111011…
…1110110110000
32221211212110110
42201313312300
541330341333
64113301320
71023453123
oct241676660
987755413
1042433968
1121a532a5
1212264840
138a39675
1458c83ba
153ad3063
hex2877db0

42433968 has 40 divisors (see below), whose sum is σ = 112588528. Its totient is φ = 13761792.

The previous prime is 42433967. The next prime is 42434003. The reversal of 42433968 is 86933424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10171 + ... + 13722.

Almost surely, 242433968 is an apocalyptic number.

42433968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42433968 is an abundant number, since it is smaller than the sum of its proper divisors (70154560).

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

42433968 is a wasteful number, since it uses less digits than its factorization.

42433968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23941 (or 23935 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 42433968 is about 6514.1360133175. The cubic root of 42433968 is about 348.7957743645.

The spelling of 42433968 in words is "forty-two million, four hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 23893 47786 71679 95572 143358 191144 286716 382288 573432 884041 1146864 1768082 2652123 3536164 5304246 7072328 10608492 14144656 21216984 42433968