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504734048 = 25713267199
BaseRepresentation
bin11110000101011…
…010000101100000
31022011202010221122
4132011122011200
52013202442143
6122030111412
715336111560
oct3605320540
91264663848
10504734048
11239a00185
1212104b568
1380751b00
144b068da0
152e4a0c68
hex1e15a160

504734048 has 144 divisors (see below), whose sum is σ = 1254355200. Its totient is φ = 195706368.

The previous prime is 504734023. The next prime is 504734053. The reversal of 504734048 is 840437405.

It is a junction number, because it is equal to n+sod(n) for n = 504733999 and 504734017.

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, 2536253 + ... + 2536451.

It is an arithmetic number, because the mean of its divisors is an integer number (8710800).

Almost surely, 2504734048 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 504734048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627177600).

504734048 is an abundant number, since it is smaller than the sum of its proper divisors (749621152).

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

504734048 is a wasteful number, since it uses less digits than its factorization.

504734048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 504734048 is about 22466.2869206284. The cubic root of 504734048 is about 796.1976058819.

The spelling of 504734048 in words is "five hundred four million, seven hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 67 91 104 112 134 169 182 199 208 224 268 338 364 398 416 469 536 676 728 796 871 938 1072 1183 1352 1393 1456 1592 1742 1876 2144 2366 2587 2704 2786 2912 3184 3484 3752 4732 5174 5408 5572 6097 6368 6968 7504 9464 10348 11144 11323 12194 13333 13936 15008 18109 18928 20696 22288 22646 24388 26666 27872 33631 36218 37856 41392 44576 45292 48776 53332 67262 72436 79261 82784 90584 93331 97552 106664 134524 144872 158522 173329 181168 186662 195104 213328 235417 269048 289744 317044 346658 362336 373324 426656 470834 538096 579488 634088 693316 746648 941668 1076192 1213303 1268176 1386632 1493296 1883336 2253277 2426606 2536352 2773264 2986592 3766672 4506554 4853212 5546528 7533344 9013108 9706424 15772939 18026216 19412848 31545878 36052432 38825696 63091756 72104864 126183512 252367024 504734048