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42259248 = 2432293467
BaseRepresentation
bin1010000100110…
…1001100110000
32221111222210100
42201031030300
541304243443
64105432400
71022124543
oct241151460
987458710
1042259248
1121943aa9
121219b700
1389a7c95
14588085a
153a9b3d3
hex284d330

42259248 has 30 divisors (see below), whose sum is σ = 118267604. Its totient is φ = 14086368.

The previous prime is 42259241. The next prime is 42259267. The reversal of 42259248 is 84295224.

42259248 is a `hidden beast` number, since 4 + 22 + 592 + 48 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (42259241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146590 + ... + 146877.

Almost surely, 242259248 is an apocalyptic number.

42259248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42259248 is an abundant number, since it is smaller than the sum of its proper divisors (76008356).

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

42259248 is a wasteful number, since it uses less digits than its factorization.

42259248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293481 (or 293472 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42259248 is about 6500.7113456913. The cubic root of 42259248 is about 348.3163987300.

The spelling of 42259248 in words is "forty-two million, two hundred fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293467 586934 880401 1173868 1760802 2347736 2641203 3521604 4695472 5282406 7043208 10564812 14086416 21129624 42259248