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542697624 = 233371512377
BaseRepresentation
bin100000010110001…
…110100010011000
31101211011220012000
4200112032202120
52102412310444
6125503521000
716306565550
oct4026164230
91354156160
10542697624
1125937a837
121318b9160
1388584771
145210c160
153299e469
hex2058e898

542697624 has 128 divisors (see below), whose sum is σ = 1734988800. Its totient is φ = 153964800.

The previous prime is 542697553. The next prime is 542697653. The reversal of 542697624 is 426796245.

It is a super-2 number, since 2×5426976242 = 589041422190490752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 542697624.

It is a congruent number.

It is an unprimeable 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, 227124 + ... + 229500.

It is an arithmetic number, because the mean of its divisors is an integer number (13554600).

Almost surely, 2542697624 is an apocalyptic number.

542697624 is a gapful number since it is divisible by the number (54) 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 542697624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867494400).

542697624 is an abundant number, since it is smaller than the sum of its proper divisors (1192291176).

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

542697624 is a wasteful number, since it uses less digits than its factorization.

542697624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2540 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 542697624 is about 23295.8713938758. The cubic root of 542697624 is about 815.6790476537.

The spelling of 542697624 in words is "five hundred forty-two million, six hundred ninety-seven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 151 168 189 216 252 302 378 453 504 604 756 906 1057 1208 1359 1512 1812 2114 2377 2718 3171 3624 4077 4228 4754 5436 6342 7131 8154 8456 9508 9513 10872 12684 14262 16308 16639 19016 19026 21393 25368 28524 28539 32616 33278 38052 42786 49917 57048 57078 64179 66556 76104 85572 99834 114156 128358 133112 149751 171144 199668 228312 256716 299502 358927 399336 449253 513432 599004 717854 898506 1076781 1198008 1435708 1797012 2153562 2512489 2871416 3230343 3594024 4307124 5024978 6460686 7537467 8614248 9691029 10049956 12921372 15074934 19382058 20099912 22612401 25842744 30149868 38764116 45224802 60299736 67837203 77528232 90449604 135674406 180899208 271348812 542697624