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534142524 = 2232331163383
BaseRepresentation
bin11111110101100…
…101111000111100
31101020002020210110
4133311211320330
52043220030044
6125000310020
716144064556
oct3765457074
91336066713
10534142524
11254567203
1212aa72310
138687a786
1450d224d6
1531d5e6b9
hex1fd65e3c

534142524 has 96 divisors (see below), whose sum is σ = 1354235904. Its totient is φ = 163373760.

The previous prime is 534142507. The next prime is 534142529. The reversal of 534142524 is 425241435.

It is a junction number, because it is equal to n+sod(n) for n = 534142491 and 534142500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534142529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1394437 + ... + 1394819.

It is an arithmetic number, because the mean of its divisors is an integer number (14106624).

Almost surely, 2534142524 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 534142524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677117952).

534142524 is an abundant number, since it is smaller than the sum of its proper divisors (820093380).

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

534142524 is a wasteful number, since it uses less digits than its factorization.

534142524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 534142524 is about 23111.5236191818. The cubic root of 534142524 is about 811.3701972500.

Adding to 534142524 its reverse (425241435), we get a palindrome (959383959).

The spelling of 534142524 in words is "five hundred thirty-four million, one hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 163 186 276 326 372 383 489 652 713 766 978 1149 1426 1532 1956 2139 2298 2852 3749 4278 4596 5053 7498 8556 8809 10106 11247 11873 14996 15159 17618 20212 22494 23746 26427 30318 35236 35619 44988 47492 52854 60636 62429 71238 105708 116219 124858 142476 187287 232438 249716 273079 348657 374574 464876 546158 697314 749148 819237 1092316 1394628 1435867 1638474 1935299 2871734 3276948 3870598 4307601 5743468 5805897 7741196 8615202 11611794 17230404 23223588 44511877 89023754 133535631 178047508 267071262 534142524