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42827392 = 275359107
BaseRepresentation
bin1010001101011…
…1111010000000
32222120212010201
42203113322000
541430434032
64125534544
71030012126
oct243277200
988525121
1042827392
11221a1943
1212414454
138b4676a
14598b916
153b5e8e7
hex28d7e80

42827392 has 64 divisors (see below), whose sum is σ = 89229600. Its totient is φ = 20460544.

The previous prime is 42827383. The next prime is 42827417. The reversal of 42827392 is 29372824.

It is a tau number, because it is divible by the number of its divisors (64).

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, 400203 + ... + 400309.

Almost surely, 242827392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44614800).

42827392 is an abundant number, since it is smaller than the sum of its proper divisors (46402208).

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

42827392 is a wasteful number, since it uses less digits than its factorization.

42827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 42827392 is about 6544.2640533524. The cubic root of 42827392 is about 349.8704064434.

It can be divided in two parts, 428 and 27392, that multiplied together give a square (11723776 = 34242).

The spelling of 42827392 in words is "forty-two million, eight hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 59 64 106 107 118 128 212 214 236 424 428 472 848 856 944 1696 1712 1888 3127 3392 3424 3776 5671 6254 6313 6784 6848 7552 11342 12508 12626 13696 22684 25016 25252 45368 50032 50504 90736 100064 101008 181472 200128 202016 334589 362944 400256 404032 669178 725888 808064 1338356 2676712 5353424 10706848 21413696 42827392