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42529776 = 2432930553
BaseRepresentation
bin1010001000111…
…1001111110000
32222000201212220
42202033033300
541341423101
64115321040
71024332342
oct242171760
988021786
1042529776
1122009283
12122b0180
138a71163
145911292
153b01636
hex288f3f0

42529776 has 40 divisors (see below), whose sum is σ = 113660880. Its totient is φ = 13687296.

The previous prime is 42529763. The next prime is 42529777. The reversal of 42529776 is 67792524.

42529776 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 2×425297762 = 3617563693220352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42529777) 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, 13885 + ... + 16668.

It is an arithmetic number, because the mean of its divisors is an integer number (2841522).

Almost surely, 242529776 is an apocalyptic number.

It is an amenable number.

42529776 is an abundant number, since it is smaller than the sum of its proper divisors (71131104).

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

42529776 is a wasteful number, since it uses less digits than its factorization.

42529776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30593 (or 30587 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 42529776 is about 6521.4857202941. The cubic root of 42529776 is about 349.0580823575.

It can be divided in two parts, 4252 and 9776, that added together give a triangular number (14028 = T167).

The spelling of 42529776 in words is "forty-two million, five hundred twenty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 30553 61106 91659 122212 183318 244424 366636 488848 733272 886037 1466544 1772074 2658111 3544148 5316222 7088296 10632444 14176592 21264888 42529776