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542803324 = 2271929151233
BaseRepresentation
bin100000010110101…
…000010101111100
31101211101021011211
4200112220111330
52102424201244
6125510054204
716310515660
oct4026502574
91354337154
10542803324
11259442198
1213194a364
13885c08cb
14521388a0
15329c0934
hex205a857c

542803324 has 96 divisors (see below), whose sum is σ = 1195084800. Its totient is φ = 210470400.

The previous prime is 542803309. The next prime is 542803337. The reversal of 542803324 is 423308245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2329512 + ... + 2329744.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 2542803324 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 542803324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597542400).

542803324 is an abundant number, since it is smaller than the sum of its proper divisors (652281476).

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

542803324 is a wasteful number, since it uses less digits than its factorization.

542803324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 542803324 is about 23298.1399257537. The cubic root of 542803324 is about 815.7320002094.

The spelling of 542803324 in words is "five hundred forty-two million, eight hundred three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 151 203 233 266 302 406 466 532 551 604 812 932 1057 1102 1631 2114 2204 2869 3262 3857 4228 4379 4427 5738 6524 6757 7714 8758 8854 11476 13514 15428 17516 17708 20083 27028 30653 30989 35183 40166 47299 61306 61978 70366 80332 83201 94598 122612 123956 128383 140732 166402 189196 246281 256766 332804 492562 513532 582407 668477 898681 985124 1020307 1164814 1336954 1797362 2040614 2329628 2673908 3594724 4081228 4679339 7142149 9358678 14284298 18717356 19385833 28568596 38771666 77543332 135700831 271401662 542803324