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542131044 = 223713238189
BaseRepresentation
bin100000010100000…
…100001101100100
31101210010002222120
4200110010031210
52102241143134
6125443425540
716302015660
oct4024041544
91353102876
10542131044
11259023094
121316852b0
1388416900
14520018a0
15328db649
hex20504364

542131044 has 72 divisors (see below), whose sum is σ = 1565484480. Its totient is φ = 142975872.

The previous prime is 542131001. The next prime is 542131061. The reversal of 542131044 is 440131245.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4899 + ... + 33290.

It is an arithmetic number, because the mean of its divisors is an integer number (21742840).

Almost surely, 2542131044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542131044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782742240).

542131044 is an abundant number, since it is smaller than the sum of its proper divisors (1023353436).

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

542131044 is a wasteful number, since it uses less digits than its factorization.

542131044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38229 (or 38214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 542131044 is about 23283.7076944373. The cubic root of 542131044 is about 815.3950906606.

Adding to 542131044 its reverse (440131245), we get a palindrome (982262289).

The spelling of 542131044 in words is "five hundred forty-two million, one hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 14196 38189 76378 114567 152756 229134 267323 458268 496457 534646 801969 992914 1069292 1489371 1603938 1985828 2978742 3207876 3475199 5957484 6453941 6950398 10425597 12907882 13900796 19361823 20851194 25815764 38723646 41702388 45177587 77447292 90355174 135532761 180710348 271065522 542131044