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542649024 = 2633714423
BaseRepresentation
bin100000010110000…
…010101011000000
31101211002102112000
4200112002223000
52102404232044
6125502504000
716306304061
oct4026025300
91354072460
10542649024
11259347275
12131895000
13885685c8
14520d8568
153298ed69
hex20582ac0

542649024 has 112 divisors (see below), whose sum is σ = 1618122240. Its totient is φ = 178295040.

The previous prime is 542648999. The next prime is 542649049. The reversal of 542649024 is 420946245.

542649024 is a `hidden beast` number, since 5 + 4 + 2 + 649 + 0 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (542648999) and next prime (542649049).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 542649024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120477 + ... + 124899.

It is an arithmetic number, because the mean of its divisors is an integer number (14447520).

Almost surely, 2542649024 is an apocalyptic number.

542649024 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 542649024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809061120).

542649024 is an abundant number, since it is smaller than the sum of its proper divisors (1075473216).

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

542649024 is a wasteful number, since it uses less digits than its factorization.

542649024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 542649024 is about 23294.8282672356. The cubic root of 542649024 is about 815.6546981920.

The spelling of 542649024 in words is "five hundred forty-two million, six hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 142 144 192 213 216 284 288 426 432 568 576 639 852 864 1136 1278 1704 1728 1917 2272 2556 3408 3834 4423 4544 5112 6816 7668 8846 10224 13269 13632 15336 17692 20448 26538 30672 35384 39807 40896 53076 61344 70768 79614 106152 119421 122688 141536 159228 212304 238842 283072 314033 318456 424608 477684 628066 636912 849216 942099 955368 1256132 1273824 1884198 1910736 2512264 2547648 2826297 3768396 3821472 5024528 5652594 7536792 7642944 8478891 10049056 11305188 15073584 16957782 20098112 22610376 30147168 33915564 45220752 60294336 67831128 90441504 135662256 180883008 271324512 542649024