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42282432 = 263324469
BaseRepresentation
bin1010000101001…
…0110111000000
32221120011121000
42201102313000
541311014212
64110132000
71022252253
oct241226700
987504530
1042282432
112195a465
12121b1000
1389b56ba
14588909a
153aa31dc
hex2852dc0

42282432 has 56 divisors (see below), whose sum is σ = 124307600. Its totient is φ = 14093568.

The previous prime is 42282431. The next prime is 42282433. The reversal of 42282432 is 23428224.

42282432 is a `hidden beast` number, since 4 + 228 + 2 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (42282431) and next prime (42282433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42282396 and 42282405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42282431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10507 + ... + 13962.

Almost surely, 242282432 is an apocalyptic number.

It is an amenable number.

42282432 is an abundant number, since it is smaller than the sum of its proper divisors (82025168).

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

42282432 is a wasteful number, since it uses less digits than its factorization.

42282432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24490 (or 24474 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42282432 is about 6502.4942906549. The cubic root of 42282432 is about 348.3800841281.

The spelling of 42282432 in words is "forty-two million, two hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 24469 48938 73407 97876 146814 195752 220221 293628 391504 440442 587256 660663 783008 880884 1174512 1321326 1566016 1761768 2349024 2642652 3523536 4698048 5285304 7047072 10570608 14094144 21141216 42282432