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42436332 = 2233392929
BaseRepresentation
bin1010000111100…
…0011011101100
32221211222201000
42201320123230
541330430312
64113320300
71023463041
oct241703354
987758630
1042436332
1121a55054
1212266090
138a3a773
1458c91c8
153ad3adc
hex28786ec

42436332 has 24 divisors (see below), whose sum is σ = 110020400. Its totient is φ = 14145408.

The previous prime is 42436327. The next prime is 42436333. The reversal of 42436332 is 23363424.

It is a happy number.

42436332 is a `hidden beast` number, since 4 + 24 + 3 + 633 + 2 = 666.

42436332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424363322 = 3601684547228448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 42436296 and 42436305.

It is not an unprimeable number, because it can be changed into a prime (42436333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196357 + ... + 196572.

Almost surely, 242436332 is an apocalyptic number.

It is an amenable number.

42436332 is an abundant number, since it is smaller than the sum of its proper divisors (67584068).

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

42436332 is a wasteful number, since it uses less digits than its factorization.

42436332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392942 (or 392934 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 42436332 is about 6514.3174623287. The cubic root of 42436332 is about 348.8022513918.

Adding to 42436332 its reverse (23363424), we get a palindrome (65799756).

The spelling of 42436332 in words is "forty-two million, four hundred thirty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 392929 785858 1178787 1571716 2357574 3536361 4715148 7072722 10609083 14145444 21218166 42436332