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501942 = 237171937
BaseRepresentation
bin1111010100010110110
3221111112110
41322202312
5112030232
614431450
74160250
oct1724266
9844473
10501942
11313131
12202586
1314760c
14d0cd0
159dacc
hex7a8b6

501942 has 64 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 124416.

The previous prime is 501931. The next prime is 501947. The reversal of 501942 is 249105.

501942 is a nontrivial binomial coefficient, being equal to C(38, 5).

It is a Harshad number since it is a multiple of its sum of digits (21).

501942 is an undulating number in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501947) by changing a digit.

501942 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 31 ways as a sum of consecutive naturals, for example, 13548 + ... + 13584.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2501942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

501942 is an abundant number, since it is smaller than the sum of its proper divisors (811338).

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

501942 is a wasteful number, since it uses less digits than its factorization.

501942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 501942 is about 708.4786517602. The cubic root of 501942 is about 79.4726776091.

The spelling of 501942 in words is "five hundred one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 17 19 21 34 37 38 42 51 57 74 102 111 114 119 133 222 238 259 266 323 357 399 518 629 646 703 714 777 798 969 1258 1406 1554 1887 1938 2109 2261 3774 4218 4403 4522 4921 6783 8806 9842 11951 13209 13566 14763 23902 26418 29526 35853 71706 83657 167314 250971 501942