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542185336 = 237115316607
BaseRepresentation
bin100000010100010…
…001011101111000
31101210012212110101
4200110101131320
52102244412321
6125444525144
716302333160
oct4024213570
91353185411
10542185336
1125905a960
121316b07b4
1388435534
14520175a0
15328ec791
hex20511778

542185336 has 64 divisors (see below), whose sum is σ = 1291438080. Its totient is φ = 207242880.

The previous prime is 542185321. The next prime is 542185337. The reversal of 542185336 is 633581245.

It is a junction number, because it is equal to n+sod(n) for n = 542185295 and 542185304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542185337) 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, 24345 + ... + 40951.

It is an arithmetic number, because the mean of its divisors is an integer number (20178720).

Almost surely, 2542185336 is an apocalyptic number.

542185336 is a gapful number since it is divisible by the number (56) 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 542185336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645719040).

542185336 is an abundant number, since it is smaller than the sum of its proper divisors (749252744).

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

542185336 is a wasteful number, since it uses less digits than its factorization.

542185336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16684 (or 16680 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 542185336 is about 23284.8735448574. The cubic root of 542185336 is about 815.4223091428.

The spelling of 542185336 in words is "five hundred forty-two million, one hundred eighty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 53 56 77 88 106 154 212 308 371 424 583 616 742 1166 1484 2332 2968 4081 4664 8162 16324 16607 32648 33214 66428 116249 132856 182677 232498 365354 464996 730708 880171 929992 1278739 1461416 1760342 2557478 3520684 5114956 6161197 7041368 9681881 10229912 12322394 19363762 24644788 38727524 49289576 67773167 77455048 135546334 271092668 542185336