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42187890 = 23567139151
BaseRepresentation
bin1010000011101…
…1110001110010
32221101100220110
42200323301302
541300003030
64104122150
71021406523
oct240736162
987340813
1042187890
11218a5428
1212166356
138981664
14586284a
153a851b0
hex283bc72

42187890 has 64 divisors (see below), whose sum is σ = 104186880. Its totient is φ = 10929600.

The previous prime is 42187877. The next prime is 42187907. The reversal of 42187890 is 9878124.

42187890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279315 + ... + 279465.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 242187890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42187890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093440).

42187890 is an abundant number, since it is smaller than the sum of its proper divisors (61998990).

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

42187890 is a wasteful number, since it uses less digits than its factorization.

42187890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 42187890 is about 6495.2205505279. The cubic root of 42187890 is about 348.1202352404.

The spelling of 42187890 in words is "forty-two million, one hundred eighty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 67 134 139 151 201 278 302 335 402 417 453 670 695 755 834 906 1005 1390 1510 2010 2085 2265 4170 4530 9313 10117 18626 20234 20989 27939 30351 41978 46565 50585 55878 60702 62967 93130 101170 104945 125934 139695 151755 209890 279390 303510 314835 629670 1406263 2812526 4218789 7031315 8437578 14062630 21093945 42187890