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542373672 = 233232334217
BaseRepresentation
bin100000010100111…
…111011100101000
31101210120102210210
4200110333130220
52102321424142
6125452541120
716304046231
oct4024773450
91353512723
10542373672
11259179405
121317817a0
13884a0189
1452066088
153293849c
hex2053f728

542373672 has 64 divisors (see below), whose sum is σ = 1421297280. Its totient is φ = 172147712.

The previous prime is 542373659. The next prime is 542373679. The reversal of 542373672 is 276373245.

It is a self number, because there is not a number n which added to its sum of digits gives 542373672.

It is not an unprimeable number, because it can be changed into a prime (542373679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126508 + ... + 130724.

It is an arithmetic number, because the mean of its divisors is an integer number (22207770).

Almost surely, 2542373672 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 542373672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710648640).

542373672 is an abundant number, since it is smaller than the sum of its proper divisors (878923608).

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

542373672 is a wasteful number, since it uses less digits than its factorization.

542373672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4478 counting only the distinct ones).

The product of its digits is 211680, while the sum is 39.

The square root of 542373672 is about 23288.9173642744. The cubic root of 542373672 is about 815.5167144979.

The spelling of 542373672 in words is "five hundred forty-two million, three hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 233 276 466 552 699 932 1398 1864 2796 4217 5359 5592 8434 10718 12651 16077 16868 21436 25302 32154 33736 42872 50604 64308 96991 101208 128616 193982 290973 387964 581946 775928 982561 1163892 1965122 2327784 2947683 3930244 5895366 7860488 11790732 22598903 23581464 45197806 67796709 90395612 135593418 180791224 271186836 542373672