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42040992 = 253773857
BaseRepresentation
bin1010000001011…
…1111010100000
32221002220101210
42200113322200
541230302432
64101030120
71020225330
oct240277240
987086353
1042040992
1121805024
12120b5340
13892c836
1458250c0
153a568cc
hex2817ea0

42040992 has 96 divisors (see below), whose sum is σ = 127999872. Its totient is φ = 11833344.

The previous prime is 42040979. The next prime is 42040993. The reversal of 42040992 is 29904024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (42040993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48628 + ... + 49484.

It is an arithmetic number, because the mean of its divisors is an integer number (1333332).

Almost surely, 242040992 is an apocalyptic number.

42040992 is a gapful number since it is divisible by the number (42) 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 42040992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63999936).

42040992 is an abundant number, since it is smaller than the sum of its proper divisors (85958880).

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

42040992 is a wasteful number, since it uses less digits than its factorization.

42040992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42040992 is about 6483.9025285703. The cubic root of 42040992 is about 347.7157144512.

The spelling of 42040992 in words is "forty-two million, forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 857 876 1022 1168 1533 1714 1752 2044 2336 2571 3066 3428 3504 4088 5142 5999 6132 6856 7008 8176 10284 11998 12264 13712 16352 17997 20568 23996 24528 27424 35994 41136 47992 49056 62561 71988 82272 95984 125122 143976 187683 191968 250244 287952 375366 437927 500488 575904 750732 875854 1000976 1313781 1501464 1751708 2001952 2627562 3002928 3503416 5255124 6005856 7006832 10510248 14013664 21020496 42040992