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42264504 = 23367247
BaseRepresentation
bin1010000100111…
…0011110111000
32221112021000000
42201032132320
541304431004
64105513000
71022146062
oct241163670
987467000
1042264504
1121947a47
12121a2760
1389aa4a9
145882732
153a9cc39
hex284e7b8

42264504 has 56 divisors (see below), whose sum is σ = 118830960. Its totient is φ = 14086224.

The previous prime is 42264503. The next prime is 42264529. The reversal of 42264504 is 40546224.

42264504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42264503) 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 13 ways as a sum of consecutive naturals, for example, 2209 + ... + 9455.

Almost surely, 242264504 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 42264504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59415480).

42264504 is an abundant number, since it is smaller than the sum of its proper divisors (76566456).

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

42264504 is an equidigital number, since it uses as much as digits as its factorization.

42264504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42264504 is about 6501.1155965726. The cubic root of 42264504 is about 348.3308387653.

The spelling of 42264504 in words is "forty-two million, two hundred sixty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 7247 14494 21741 28988 43482 57976 65223 86964 130446 173928 195669 260892 391338 521784 587007 782676 1174014 1565352 1761021 2348028 3522042 4696056 5283063 7044084 10566126 14088168 21132252 42264504