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42435276 = 223132311827
BaseRepresentation
bin1010000111100…
…0001011001100
32221211221020220
42201320023030
541330412101
64113311340
71023460002
oct241701314
987757226
1042435276
1121a54284
1212265550
138a3a140
1458c8a72
153ad3636
hex28782cc

42435276 has 48 divisors (see below), whose sum is σ = 111277824. Its totient is φ = 12488256.

The previous prime is 42435271. The next prime is 42435277. The reversal of 42435276 is 67253424.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42435271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2326 + ... + 9501.

It is an arithmetic number, because the mean of its divisors is an integer number (2318288).

Almost surely, 242435276 is an apocalyptic number.

42435276 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42435276 is an abundant number, since it is smaller than the sum of its proper divisors (68842548).

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

42435276 is a wasteful number, since it uses less digits than its factorization.

42435276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11870 (or 11868 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 42435276 is about 6514.2364095878. The cubic root of 42435276 is about 348.7993581301.

The spelling of 42435276 in words is "forty-two million, four hundred thirty-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 11827 23654 35481 47308 70962 141924 153751 272021 307502 461253 544042 615004 816063 922506 1088084 1632126 1845012 3264252 3536273 7072546 10608819 14145092 21217638 42435276