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42253116 = 22323295279
BaseRepresentation
bin1010000100101…
…1101100111100
32221111200101020
42201023230330
541304044431
64105344140
71022100633
oct241135474
987450336
1042253116
112193a434
1212198050
1389a5259
14587c51a
153a99696
hex284bb3c

42253116 has 48 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 13004992.

The previous prime is 42253097. The next prime is 42253153. The reversal of 42253116 is 61135224.

42253116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5365 + ... + 10643.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 242253116 is an apocalyptic number.

42253116 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42253116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

42253116 is an abundant number, since it is smaller than the sum of its proper divisors (64191684).

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

42253116 is a wasteful number, since it uses less digits than its factorization.

42253116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5336 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 42253116 is about 6500.2396878884. The cubic root of 42253116 is about 348.2995505089.

The spelling of 42253116 in words is "forty-two million, two hundred fifty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 5279 8004 10558 15837 21116 31674 63348 121417 153091 242834 306182 364251 459273 485668 612364 728502 918546 1457004 1837092 3521093 7042186 10563279 14084372 21126558 42253116