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42575040 = 2632514783
BaseRepresentation
bin1010001001101…
…0010011000000
32222010000222100
42202122103000
541344400130
64120310400
71024611324
oct242322300
988100870
1042575040
112203a292
1212312400
138a88941
145923984
153b0ec60
hex289a4c0

42575040 has 84 divisors (see below), whose sum is σ = 146450304. Its totient is φ = 11352576.

The previous prime is 42575033. The next prime is 42575041. The reversal of 42575040 is 4057524.

It is a junction number, because it is equal to n+sod(n) for n = 42574995 and 42575013.

It is not an unprimeable number, because it can be changed into a prime (42575041) 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, 4512 + ... + 10271.

It is an arithmetic number, because the mean of its divisors is an integer number (1743456).

Almost surely, 242575040 is an apocalyptic number.

42575040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42575040 is an abundant number, since it is smaller than the sum of its proper divisors (103875264).

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

42575040 is a wasteful number, since it uses less digits than its factorization.

42575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 42575040 is about 6524.9551722598. The cubic root of 42575040 is about 349.1818714191.

The spelling of 42575040 in words is "forty-two million, five hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 14783 29566 44349 59132 73915 88698 118264 133047 147830 177396 221745 236528 266094 295660 354792 443490 473056 532188 591320 665235 709584 886980 946112 1064376 1182640 1330470 1419168 1773960 2128752 2365280 2660940 2838336 3547920 4257504 4730560 5321880 7095840 8515008 10643760 14191680 21287520 42575040