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504328944 = 243737113359
BaseRepresentation
bin11110000011110…
…111001011110000
31022010222120020210
4132003313023300
52013102011234
6122013304120
715332503530
oct3603671360
91263876223
10504328944
11239753889
12120a95040
138063c5c2
144ada14c0
152e420be9
hex1e0f72f0

504328944 has 160 divisors (see below), whose sum is σ = 1547043840. Its totient is φ = 138571776.

The previous prime is 504328943. The next prime is 504328949. The reversal of 504328944 is 449823405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504328943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1404637 + ... + 1404995.

It is an arithmetic number, because the mean of its divisors is an integer number (9669024).

Almost surely, 2504328944 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 504328944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773521920).

504328944 is an abundant number, since it is smaller than the sum of its proper divisors (1042714896).

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

504328944 is a wasteful number, since it uses less digits than its factorization.

504328944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 504328944 is about 22457.2692908109. The cubic root of 504328944 is about 795.9845371271.

The spelling of 504328944 in words is "five hundred four million, three hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 113 148 168 222 226 259 296 336 339 359 444 452 518 592 678 718 777 791 888 904 1036 1077 1356 1436 1554 1582 1776 1808 2072 2154 2373 2513 2712 2872 3108 3164 4144 4181 4308 4746 5026 5424 5744 6216 6328 7539 8362 8616 9492 10052 12432 12543 12656 13283 15078 16724 17232 18984 20104 25086 26566 29267 30156 33448 37968 39849 40208 40567 50172 53132 58534 60312 66896 79698 81134 87801 92981 100344 106264 117068 120624 121701 159396 162268 175602 185962 200688 212528 234136 243402 278943 283969 318792 324536 351204 371924 468272 486804 557886 567938 637584 649072 702408 743848 851907 973608 1115772 1135876 1404816 1487696 1500979 1703814 1947216 2231544 2271752 3001958 3407628 4463088 4502937 4543504 6003916 6815256 9005874 10506853 12007832 13630512 18011748 21013706 24015664 31520559 36023496 42027412 63041118 72046992 84054824 126082236 168109648 252164472 504328944