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542513232 = 243219832389
BaseRepresentation
bin100000010101100…
…001100001010000
31101210211112020200
4200111201201100
52102340410412
6125455535200
716305200142
oct4025414120
91353745220
10542513232
11259264248
1213182a500
138851b861
14520a0c92
15329649dc
hex20561850

542513232 has 120 divisors (see below), whose sum is σ = 1618125600. Its totient is φ = 169185024.

The previous prime is 542513227. The next prime is 542513243. The reversal of 542513232 is 232315245.

It is a happy number.

542513232 is a `hidden beast` number, since 5 + 425 + 1 + 3 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 542513196 and 542513205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225894 + ... + 228282.

It is an arithmetic number, because the mean of its divisors is an integer number (13484380).

Almost surely, 2542513232 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 542513232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809062800).

542513232 is an abundant number, since it is smaller than the sum of its proper divisors (1075612368).

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

542513232 is a wasteful number, since it uses less digits than its factorization.

542513232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2496 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 542513232 is about 23291.9134465162. The cubic root of 542513232 is about 815.5866562852.

Adding to 542513232 its reverse (232315245), we get a palindrome (774828477).

The spelling of 542513232 in words is "five hundred forty-two million, five hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 83 114 144 152 166 171 228 249 304 332 342 456 498 664 684 747 912 996 1328 1368 1494 1577 1992 2389 2736 2988 3154 3984 4731 4778 5976 6308 7167 9462 9556 11952 12616 14193 14334 18924 19112 21501 25232 28386 28668 37848 38224 43002 45391 56772 57336 75696 86004 90782 113544 114672 136173 172008 181564 198287 227088 272346 344016 363128 396574 408519 544692 594861 726256 793148 817038 1089384 1189722 1586296 1634076 1784583 2178768 2379444 3172592 3268152 3569166 3767453 4758888 6536304 7138332 7534906 9517776 11302359 14276664 15069812 22604718 28553328 30139624 33907077 45209436 60279248 67814154 90418872 135628308 180837744 271256616 542513232