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42453624 = 23317104053
BaseRepresentation
bin1010000111110…
…0101001111000
32221212212102110
42201330221320
541332003444
64113532320
71023564333
oct241745170
987785373
1042453624
1121a67044
12122740a0
138a455b5
1458d161a
153ad8cb9
hex287ca78

42453624 has 32 divisors (see below), whose sum is σ = 112378320. Its totient is φ = 13318656.

The previous prime is 42453617. The next prime is 42453637. The reversal of 42453624 is 42635424.

42453624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42453591 and 42453600.

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 7 ways as a sum of consecutive naturals, for example, 51619 + ... + 52434.

Almost surely, 242453624 is an apocalyptic number.

It is an amenable number.

42453624 is an abundant number, since it is smaller than the sum of its proper divisors (69924696).

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

42453624 is a wasteful number, since it uses less digits than its factorization.

42453624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104079 (or 104075 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 42453624 is about 6515.6445575246. The cubic root of 42453624 is about 348.8496217243.

It can be divided in two parts, 424536 and 24, that multiplied together give a square (10188864 = 31922).

The spelling of 42453624 in words is "forty-two million, four hundred fifty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 104053 208106 312159 416212 624318 832424 1248636 1768901 2497272 3537802 5306703 7075604 10613406 14151208 21226812 42453624