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542612520 = 23345223751
BaseRepresentation
bin100000010101111…
…001110000101000
31101211000120110000
4200111321300220
52102402100040
6125502023000
716306062462
oct4025716050
91354016400
10542612520
112593218aa
12131877a60
1388554ac8
14520c9132
1532984130
hex20579c28

542612520 has 160 divisors (see below), whose sum is σ = 1834398720. Its totient is φ = 143856000.

The previous prime is 542612519. The next prime is 542612593. The reversal of 542612520 is 25216245.

542612520 is a `hidden beast` number, since 5 + 42 + 612 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 722145 + ... + 722895.

It is an arithmetic number, because the mean of its divisors is an integer number (11464992).

Almost surely, 2542612520 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 542612520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917199360).

542612520 is an abundant number, since it is smaller than the sum of its proper divisors (1291786200).

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

542612520 is a wasteful number, since it uses less digits than its factorization.

542612520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 542612520 is about 23294.0447325062. The cubic root of 542612520 is about 815.6364080846.

Adding to 542612520 its reverse (25216245), we get a palindrome (567828765).

The spelling of 542612520 in words is "five hundred forty-two million, six hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 223 270 324 360 405 446 540 648 669 751 810 892 1080 1115 1338 1502 1620 1784 2007 2230 2253 2676 3004 3240 3345 3755 4014 4460 4506 5352 6008 6021 6690 6759 7510 8028 8920 9012 10035 11265 12042 13380 13518 15020 16056 18024 18063 20070 20277 22530 24084 26760 27036 30040 30105 33795 36126 40140 40554 45060 48168 54072 60210 60831 67590 72252 80280 81108 90120 90315 101385 120420 121662 135180 144504 162216 167473 180630 202770 240840 243324 270360 304155 334946 361260 405540 486648 502419 608310 669892 722520 811080 837365 1004838 1216620 1339784 1507257 1674730 2009676 2433240 2512095 3014514 3349460 4019352 4521771 5024190 6029028 6698920 7536285 9043542 10048380 12058056 13565313 15072570 18087084 20096760 22608855 27130626 30145140 36174168 45217710 54261252 60290280 67826565 90435420 108522504 135653130 180870840 271306260 542612520