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42165256 = 23719231723
BaseRepresentation
bin1010000011011…
…0010000001000
32221100012212011
42200312100020
541243242011
64103425304
71021253530
oct240662010
987305764
1042165256
112188a421
1212155234
138974273
1458584c0
153a7d621
hex2836408

42165256 has 64 divisors (see below), whose sum is σ = 99302400. Its totient is φ = 16365888.

The previous prime is 42165247. The next prime is 42165293. The reversal of 42165256 is 65256124.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23611 + ... + 25333.

It is an arithmetic number, because the mean of its divisors is an integer number (1551600).

Almost surely, 242165256 is an apocalyptic number.

42165256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42165256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49651200).

42165256 is an abundant number, since it is smaller than the sum of its proper divisors (57137144).

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

42165256 is a wasteful number, since it uses less digits than its factorization.

42165256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1774 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 42165256 is about 6493.4779586906. The cubic root of 42165256 is about 348.0579680596.

The spelling of 42165256 in words is "forty-two million, one hundred sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 133 152 161 184 266 322 437 532 644 874 1064 1288 1723 1748 3059 3446 3496 6118 6892 12061 12236 13784 24122 24472 32737 39629 48244 65474 79258 96488 130948 158516 229159 261896 277403 317032 458318 554806 752951 916636 1109612 1505902 1833272 2219224 3011804 5270657 6023608 10541314 21082628 42165256