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42464040 = 2335353867
BaseRepresentation
bin1010000111111…
…1001100101000
32221220101201020
42201333030220
541332322130
64114052440
71023636603
oct241771450
987811636
1042464040
1121a73953
121227a120
138a4a268
1458d533a
153adbe10
hex287f328

42464040 has 32 divisors (see below), whose sum is σ = 127392480. Its totient is φ = 11323712.

The previous prime is 42464021. The next prime is 42464041. The reversal of 42464040 is 4046424.

42464040 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42464040.

It is not an unprimeable number, because it can be changed into a prime (42464041) 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, 176814 + ... + 177053.

It is an arithmetic number, because the mean of its divisors is an integer number (3981015).

Almost surely, 242464040 is an apocalyptic number.

42464040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42464040 is an abundant number, since it is smaller than the sum of its proper divisors (84928440).

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

42464040 is a wasteful number, since it uses less digits than its factorization.

42464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353881 (or 353877 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42464040 is about 6516.4438154564. The cubic root of 42464040 is about 348.8781494854.

The spelling of 42464040 in words is "forty-two million, four hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353867 707734 1061601 1415468 1769335 2123202 2830936 3538670 4246404 5308005 7077340 8492808 10616010 14154680 21232020 42464040