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42477424 = 24111714197
BaseRepresentation
bin1010001000001…
…0011101110000
32221221002001221
42202002131300
541333234144
64114234424
71024023613
oct242023560
987832057
1042477424
1121a82a10
1212285a14
138a53392
1458da17a
153ae0d84
hex2882770

42477424 has 40 divisors (see below), whose sum is σ = 95069808. Its totient is φ = 18170880.

The previous prime is 42477419. The next prime is 42477467.

42477424 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 42477424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4107 + ... + 10090.

Almost surely, 242477424 is an apocalyptic number.

42477424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42477424 is an abundant number, since it is smaller than the sum of its proper divisors (52592384).

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

42477424 is a wasteful number, since it uses less digits than its factorization.

42477424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14233 (or 14227 counting only the distinct ones).

The product of its digits is 50176, while the sum is 34.

The square root of 42477424 is about 6517.4706750395. The cubic root of 42477424 is about 348.9147992772.

The spelling of 42477424 in words is "forty-two million, four hundred seventy-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 14197 28394 56788 113576 156167 227152 241349 312334 482698 624668 965396 1249336 1930792 2498672 2654839 3861584 5309678 10619356 21238712 42477424