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42114980 = 22510120849
BaseRepresentation
bin1010000010100…
…1111110100100
32221020122220002
42200221332210
541240134410
64102400432
71020654125
oct240517644
987218802
1042114980
1121855676
1212130118
13895740b
14584404c
153a6d7a5
hex2829fa4

42114980 has 24 divisors (see below), whose sum is σ = 89321400. Its totient is φ = 16678400.

The previous prime is 42114977. The next prime is 42115009. The reversal of 42114980 is 8941124.

It can be written as a sum of positive squares in 4 ways, for example, as 24542116 + 17572864 = 4954^2 + 4192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8405 + ... + 12444.

It is an arithmetic number, because the mean of its divisors is an integer number (3721725).

Almost surely, 242114980 is an apocalyptic number.

It is an amenable number.

42114980 is an abundant number, since it is smaller than the sum of its proper divisors (47206420).

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

42114980 is a wasteful number, since it uses less digits than its factorization.

42114980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20959 (or 20957 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 42114980 is about 6489.6055350075. The cubic root of 42114980 is about 347.9195766945.

The spelling of 42114980 in words is "forty-two million, one hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 20849 41698 83396 104245 208490 416980 2105749 4211498 8422996 10528745 21057490 42114980