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42793728 = 28355721
BaseRepresentation
bin1010001100111…
…1101100000000
32222112010221220
42203033230000
541423344403
64125115040
71026512025
oct243175400
988463856
1042793728
112217961a
12123b8a80
138b34343
14597d54c
153b54953
hex28cfb00

42793728 has 36 divisors (see below), whose sum is σ = 113895768. Its totient is φ = 14264320.

The previous prime is 42793711. The next prime is 42793769. The reversal of 42793728 is 82739724.

It is a super-2 number, since 2×427937282 = 3662606312275968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42793728.

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, 27093 + ... + 28628.

Almost surely, 242793728 is an apocalyptic number.

42793728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42793728 is an abundant number, since it is smaller than the sum of its proper divisors (71102040).

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

42793728 is an equidigital number, since it uses as much as digits as its factorization.

42793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55740 (or 55726 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 42793728 is about 6541.6915243689. The cubic root of 42793728 is about 349.7787118203.

The spelling of 42793728 in words is "forty-two million, seven hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 55721 111442 167163 222884 334326 445768 668652 891536 1337304 1783072 2674608 3566144 5349216 7132288 10698432 14264576 21396864 42793728