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42041088 = 283271257
BaseRepresentation
bin1010000001011…
…1111100000000
32221002220112100
42200113330000
541230303323
64101030400
71020225525
oct240277400
987086470
1042041088
1121805101
12120b5400
13892c8ab
14582514c
153a56943
hex2817f00

42041088 has 108 divisors (see below), whose sum is σ = 123400368. Its totient is φ = 13762560.

The previous prime is 42041071. The next prime is 42041089. The reversal of 42041088 is 88014024.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163456 + ... + 163712.

It is an arithmetic number, because the mean of its divisors is an integer number (1142596).

Almost surely, 242041088 is an apocalyptic number.

42041088 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 42041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61700184).

42041088 is an abundant number, since it is smaller than the sum of its proper divisors (81359280).

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

42041088 is a wasteful number, since it uses less digits than its factorization.

42041088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42041088 is about 6483.9099315151. The cubic root of 42041088 is about 347.7159791190.

The spelling of 42041088 in words is "forty-two million, forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 257 284 288 384 426 514 568 576 639 768 771 852 1028 1136 1152 1278 1542 1704 2056 2272 2304 2313 2556 3084 3408 4112 4544 4626 5112 6168 6816 8224 9088 9252 10224 12336 13632 16448 18176 18247 18504 20448 24672 27264 32896 36494 37008 40896 49344 54528 54741 65792 72988 74016 81792 98688 109482 145976 148032 163584 164223 197376 218964 291952 296064 328446 437928 583904 592128 656892 875856 1167808 1313784 1751712 2335616 2627568 3503424 4671232 5255136 7006848 10510272 14013696 21020544 42041088