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42973680 = 2435179057
BaseRepresentation
bin1010001111101…
…1100111110000
32222212021210210
42203323213300
542000124210
64133024120
71031161461
oct243734760
988767723
1042973680
1122291842
1212485040
138b98219
1459c8d68
153b8ce20
hex28fb9f0

42973680 has 40 divisors (see below), whose sum is σ = 133219152. Its totient is φ = 11459584.

The previous prime is 42973607. The next prime is 42973681. The reversal of 42973680 is 8637924.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42973681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89289 + ... + 89768.

Almost surely, 242973680 is an apocalyptic number.

42973680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42973680 is an abundant number, since it is smaller than the sum of its proper divisors (90245472).

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

42973680 is a wasteful number, since it uses less digits than its factorization.

42973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179073 (or 179067 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 42973680 is about 6555.4313359229. The cubic root of 42973680 is about 350.2683112659.

The spelling of 42973680 in words is "forty-two million, nine hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 179057 358114 537171 716228 895285 1074342 1432456 1790570 2148684 2685855 2864912 3581140 4297368 5371710 7162280 8594736 10743420 14324560 21486840 42973680