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542864960 = 26511198117
BaseRepresentation
bin100000010110110…
…111011001000000
31101211111101201122
4200112313121000
52102433134320
6125511251412
716311163451
oct4026673100
91354441648
10542864960
11259484530
12131979b68
1388612991
1452153128
15329d3d25
hex205b7640

542864960 has 112 divisors (see below), whose sum is σ = 1484619840. Its totient is φ = 186992640.

The previous prime is 542864957. The next prime is 542864983. The reversal of 542864960 is 69468245.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 62822 + ... + 70938.

Almost surely, 2542864960 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 542864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742309920).

542864960 is an abundant number, since it is smaller than the sum of its proper divisors (941754880).

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

542864960 is a wasteful number, since it uses less digits than its factorization.

542864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 542864960 is about 23299.4626547481. The cubic root of 542864960 is about 815.7628748390.

The spelling of 542864960 in words is "five hundred forty-two million, eight hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 152 160 176 190 209 220 304 320 352 380 418 440 608 704 760 836 880 1045 1216 1520 1672 1760 2090 3040 3344 3520 4180 6080 6688 8117 8360 13376 16234 16720 32468 33440 40585 64936 66880 81170 89287 129872 154223 162340 178574 259744 308446 324680 357148 446435 519488 616892 649360 714296 771115 892870 1233784 1298720 1428592 1542230 1696453 1785740 2467568 2597440 2857184 3084460 3392906 3571480 4935136 5714368 6168920 6785812 7142960 8482265 9870272 12337840 13571624 14285920 16964530 24675680 27143248 28571840 33929060 49351360 54286496 67858120 108572992 135716240 271432480 542864960