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42433216 = 26731933
BaseRepresentation
bin1010000111011…
…1101011000000
32221211211102121
42201313223000
541330330331
64113254024
71023451000
oct241675300
987754377
1042433216
1121a52781
1212264314
138a39217
1458c8000
153ad2c11
hex2877ac0

42433216 has 56 divisors (see below), whose sum is σ = 98247200. Its totient is φ = 18176256.

The previous prime is 42433201. The next prime is 42433249. The reversal of 42433216 is 61233424.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20986 + ... + 22918.

Almost surely, 242433216 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 42433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49123600).

42433216 is an abundant number, since it is smaller than the sum of its proper divisors (55813984).

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

42433216 is an equidigital number, since it uses as much as digits as its factorization.

42433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1942 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 42433216 is about 6514.0782924371. The cubic root of 42433216 is about 348.7937139400.

The spelling of 42433216 in words is "forty-two million, four hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 1933 2744 3136 3866 5488 7732 10976 13531 15464 21952 27062 30928 54124 61856 94717 108248 123712 189434 216496 378868 432992 663019 757736 865984 1326038 1515472 2652076 3030944 5304152 6061888 10608304 21216608 42433216