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42499424 = 2511120737
BaseRepresentation
bin1010001000011…
…1110101100000
32221222012020202
42202013311200
541334440144
64114524332
71024145012
oct242076540
987865222
1042499424
1121a984a0
12122966a8
138a603b6
1459041b2
153ae764e
hex2887d60

42499424 has 24 divisors (see below), whose sum is σ = 91277928. Its totient is φ = 19317760.

The previous prime is 42499399. The next prime is 42499441.

42499424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60017 + ... + 60720.

It is an arithmetic number, because the mean of its divisors is an integer number (3803247).

Almost surely, 242499424 is an apocalyptic number.

42499424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42499424 is an abundant number, since it is smaller than the sum of its proper divisors (48778504).

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

42499424 is a wasteful number, since it uses less digits than its factorization.

42499424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120758 (or 120750 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 42499424 is about 6519.1582278696. The cubic root of 42499424 is about 348.9750257852.

The spelling of 42499424 in words is "forty-two million, four hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 120737 241474 482948 965896 1328107 1931792 2656214 3863584 5312428 10624856 21249712 42499424