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42285888 = 26352719
BaseRepresentation
bin1010000101001…
…1101101000000
32221120100100000
42201103231000
541311122023
64110200000
71022265321
oct241235500
987510300
1042285888
1121962017
12121b3000
1389b7148
14588a448
153aa4243
hex2853b40

42285888 has 84 divisors (see below), whose sum is σ = 125740160. Its totient is φ = 14090112.

The previous prime is 42285869. The next prime is 42285913. The reversal of 42285888 is 88858224.

42285888 is a `hidden beast` number, since 42 + 28 + 588 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14193 + ... + 16911.

Almost surely, 242285888 is an apocalyptic number.

42285888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42285888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62870080).

42285888 is an abundant number, since it is smaller than the sum of its proper divisors (83454272).

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

42285888 is an equidigital number, since it uses as much as digits as its factorization.

42285888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2724 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 42285888 is about 6502.7600294029. The cubic root of 42285888 is about 348.3895756096.

The spelling of 42285888 in words is "forty-two million, two hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 2719 3888 5184 5438 7776 8157 10876 15552 16314 21752 24471 32628 43504 48942 65256 73413 87008 97884 130512 146826 174016 195768 220239 261024 293652 391536 440478 522048 587304 660717 783072 880956 1174608 1321434 1566144 1761912 2349216 2642868 3523824 4698432 5285736 7047648 10571472 14095296 21142944 42285888