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42247980 = 223558693
BaseRepresentation
bin1010000100101…
…0011100101100
32221111102100000
42201022130230
541303413410
64105304300
71022046645
oct241123454
987442300
1042247980
1121936595
1212195090
1389a2b08
14587a6cc
153a97dc0
hex284a72c

42247980 has 72 divisors (see below), whose sum is σ = 132913872. Its totient is φ = 11264832.

The previous prime is 42247979. The next prime is 42247991. The reversal of 42247980 is 8974224.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 514 + ... + 9206.

It is an arithmetic number, because the mean of its divisors is an integer number (1846026).

Almost surely, 242247980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42247980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66456936).

42247980 is an abundant number, since it is smaller than the sum of its proper divisors (90665892).

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

42247980 is a wasteful number, since it uses less digits than its factorization.

42247980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8717 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42247980 is about 6499.8446135273. The cubic root of 42247980 is about 348.2854376327.

The spelling of 42247980 in words is "forty-two million, two hundred forty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 8693 17386 26079 34772 43465 52158 78237 86930 104316 130395 156474 173860 234711 260790 312948 391185 469422 521580 704133 782370 938844 1173555 1408266 1564740 2112399 2347110 2816532 3520665 4224798 4694220 7041330 8449596 10561995 14082660 21123990 42247980