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504328704 = 29311191571
BaseRepresentation
bin11110000011110…
…111001000000000
31022010222112220220
4132003313020000
52013102004304
6122013303040
715332503035
oct3603671000
91263875826
10504328704
11239753690
12120a94a80
138063c469
144ada138c
152e420ad9
hex1e0f7200

504328704 has 160 divisors (see below), whose sum is σ = 1543829760. Its totient is φ = 144691200.

The previous prime is 504328703. The next prime is 504328717. The reversal of 504328704 is 407823405.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (504328703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320239 + ... + 321809.

It is an arithmetic number, because the mean of its divisors is an integer number (9648936).

Almost surely, 2504328704 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 504328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771914880).

504328704 is an abundant number, since it is smaller than the sum of its proper divisors (1039501056).

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

504328704 is a wasteful number, since it uses less digits than its factorization.

504328704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 504328704 is about 22457.2639473289. The cubic root of 504328704 is about 795.9844108628.

The spelling of 504328704 in words is "five hundred four million, three hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 512 528 608 627 704 768 836 912 1056 1216 1254 1408 1536 1571 1672 1824 2112 2432 2508 2816 3142 3344 3648 4224 4713 4864 5016 5632 6284 6688 7296 8448 9426 9728 10032 12568 13376 14592 16896 17281 18852 20064 25136 26752 29184 29849 34562 37704 40128 50272 51843 53504 59698 69124 75408 80256 89547 100544 103686 107008 119396 138248 150816 160512 179094 201088 207372 238792 276496 301632 321024 328339 358188 402176 414744 477584 552992 603264 656678 716376 804352 829488 955168 985017 1105984 1206528 1313356 1432752 1658976 1910336 1970034 2211968 2413056 2626712 2865504 3317952 3820672 3940068 4423936 5253424 5731008 6635904 7641344 7880136 8847872 10506848 11462016 13271808 15282688 15760272 21013696 22924032 26543616 31520544 42027392 45848064 63041088 84054784 126082176 168109568 252164352 504328704