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42772452 = 22373157311
BaseRepresentation
bin1010001100101…
…0011111100100
32222111001202220
42203022133210
541422204302
64124432340
71026363012
oct243123744
988431686
1042772452
1122164638
12123a86b0
138b27758
1459758b2
153b4d4bc
hex28ca7e4

42772452 has 48 divisors (see below), whose sum is σ = 102141312. Its totient is φ = 13927680.

The previous prime is 42772423. The next prime is 42772453. The reversal of 42772452 is 25427724.

It is a happy number.

42772452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (42772453) 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 15 ways as a sum of consecutive naturals, for example, 137377 + ... + 137687.

It is an arithmetic number, because the mean of its divisors is an integer number (2127944).

Almost surely, 242772452 is an apocalyptic number.

It is an amenable number.

42772452 is an abundant number, since it is smaller than the sum of its proper divisors (59368860).

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

42772452 is a wasteful number, since it uses less digits than its factorization.

42772452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its digits is 31360, while the sum is 33.

The square root of 42772452 is about 6540.0651372903. The cubic root of 42772452 is about 349.7207350569.

The spelling of 42772452 in words is "forty-two million, seven hundred seventy-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 73 146 157 219 292 311 314 438 471 622 628 876 933 942 1244 1866 1884 3732 11461 22703 22922 34383 45406 45844 48827 68109 68766 90812 97654 136218 137532 146481 195308 272436 292962 585924 3564371 7128742 10693113 14257484 21386226 42772452