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542184864 = 253131932251
BaseRepresentation
bin100000010100010…
…001010110100000
31101210012211210220
4200110101112200
52102244403424
6125444523040
716302331614
oct4024212640
91353184726
10542184864
1125905a571
121316b0480
1388435260
1452017344
15328ec579
hex205115a0

542184864 has 96 divisors (see below), whose sum is σ = 1541340864. Its totient is φ = 165888000.

The previous prime is 542184827. The next prime is 542184871. The reversal of 542184864 is 468481245.

It is a tau number, because it is divible by the number of its divisors (96).

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, 239739 + ... + 241989.

It is an arithmetic number, because the mean of its divisors is an integer number (16055634).

Almost surely, 2542184864 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 542184864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770670432).

542184864 is an abundant number, since it is smaller than the sum of its proper divisors (999156000).

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

542184864 is a wasteful number, since it uses less digits than its factorization.

542184864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2462 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 542184864 is about 23284.8634095199. The cubic root of 542184864 is about 815.4220725205.

The spelling of 542184864 in words is "five hundred forty-two million, one hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 193 208 312 386 416 579 624 772 1158 1248 1544 2251 2316 2509 3088 4502 4632 5018 6176 6753 7527 9004 9264 10036 13506 15054 18008 18528 20072 27012 29263 30108 36016 40144 54024 58526 60216 72032 80288 87789 108048 117052 120432 175578 216096 234104 240864 351156 434443 468208 702312 868886 936416 1303329 1404624 1737772 2606658 2809248 3475544 5213316 5647759 6951088 10426632 11295518 13902176 16943277 20853264 22591036 33886554 41706528 45182072 67773108 90364144 135546216 180728288 271092432 542184864