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42827280 = 2435178447
BaseRepresentation
bin1010001101011…
…1111000010000
32222120211222120
42203113320100
541430433110
64125534240
71030011606
oct243277020
988524876
1042827280
11221a1851
1212414380
138b466b2
14598b876
153b5e870
hex28d7e10

42827280 has 40 divisors (see below), whose sum is σ = 132765312. Its totient is φ = 11420544.

The previous prime is 42827261. The next prime is 42827353. The reversal of 42827280 is 8272824.

It is a tau number, because it is divible by the number of its divisors (40).

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, 88984 + ... + 89463.

Almost surely, 242827280 is an apocalyptic number.

42827280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42827280 is an abundant number, since it is smaller than the sum of its proper divisors (89938032).

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

42827280 is a wasteful number, since it uses less digits than its factorization.

42827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178463 (or 178457 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 42827280 is about 6544.2554962348. The cubic root of 42827280 is about 349.8701014555.

The spelling of 42827280 in words is "forty-two million, eight hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 178447 356894 535341 713788 892235 1070682 1427576 1784470 2141364 2676705 2855152 3568940 4282728 5353410 7137880 8565456 10706820 14275760 21413640 42827280