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42624621 = 3213364313
BaseRepresentation
bin1010001010011…
…0011001101101
32222012112222200
42202212121231
541402441441
64121332113
71025206014
oct242463155
988175880
1042624621
1122073566
1212337039
138aa5390
145937a7b
153b1e7b6
hex28a666d

42624621 has 12 divisors (see below), whose sum is σ = 66305148. Its totient is φ = 26230464.

The previous prime is 42624599. The next prime is 42624671. The reversal of 42624621 is 12642624.

42624621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11655396 + 30969225 = 3414^2 + 5565^2 .

It is not a de Polignac number, because 42624621 - 27 = 42624493 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42624671) 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 11 ways as a sum of consecutive naturals, for example, 182040 + ... + 182273.

It is an arithmetic number, because the mean of its divisors is an integer number (5525429).

Almost surely, 242624621 is an apocalyptic number.

It is an amenable number.

42624621 is a deficient number, since it is larger than the sum of its proper divisors (23680527).

42624621 is a wasteful number, since it uses less digits than its factorization.

42624621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364332 (or 364329 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 42624621 is about 6528.7534032157. The cubic root of 42624621 is about 349.3173660668.

The spelling of 42624621 in words is "forty-two million, six hundred twenty-four thousand, six hundred twenty-one".

Divisors: 1 3 9 13 39 117 364313 1092939 3278817 4736069 14208207 42624621