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504081432 = 233223437079
BaseRepresentation
bin11110000010111…
…010110000011000
31022010111222201200
4132002322300120
52013021101212
6122004114200
715330423111
oct3602726030
91263458650
10504081432
112395a4928
12120995960
1380583a4a
144ad39208
152e3c26dc
hex1e0bac18

504081432 has 96 divisors (see below), whose sum is σ = 1457913600. Its totient is φ = 156961728.

The previous prime is 504081397. The next prime is 504081437. The reversal of 504081432 is 234180405.

It is a junction number, because it is equal to n+sod(n) for n = 504081396 and 504081405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504081437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67669 + ... + 74747.

It is an arithmetic number, because the mean of its divisors is an integer number (15186600).

Almost surely, 2504081432 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 504081432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728956800).

504081432 is an abundant number, since it is smaller than the sum of its proper divisors (953832168).

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

504081432 is a wasteful number, since it uses less digits than its factorization.

504081432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 504081432 is about 22451.7578821793. The cubic root of 504081432 is about 795.8542994017.

The spelling of 504081432 in words is "five hundred four million, eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 43 46 69 72 86 92 129 138 172 184 207 258 276 344 387 414 516 552 774 828 989 1032 1548 1656 1978 2967 3096 3956 5934 7079 7912 8901 11868 14158 17802 21237 23736 28316 35604 42474 56632 63711 71208 84948 127422 162817 169896 254844 304397 325634 488451 509688 608794 651268 913191 976902 1217588 1302536 1465353 1826382 1953804 2435176 2739573 2930706 3652764 3907608 5479146 5861412 7001131 7305528 10958292 11722824 14002262 21003393 21916584 28004524 42006786 56009048 63010179 84013572 126020358 168027144 252040716 504081432