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5726704000 = 2753734903
BaseRepresentation
bin1010101010101011…
…01001000110000000
3112210002210201001011
411111111221012000
543212014012000
62344131050304
7261625116013
oct52525510600
915702721034
105726704000
112479636526
121139a40994
1370358a964
143c47cb37a
15237b512ba
hex155569180

5726704000 has 128 divisors (see below), whose sum is σ = 14436002880. Its totient is φ = 2258841600.

The previous prime is 5726703991. The next prime is 5726704033. The reversal of 5726704000 is 4076275.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1165549 + ... + 1170451.

Almost surely, 25726704000 is an apocalyptic number.

5726704000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5726704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218001440).

5726704000 is an abundant number, since it is smaller than the sum of its proper divisors (8709298880).

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

5726704000 is an equidigital number, since it uses as much as digits as its factorization.

5726704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 5726704000 is about 75674.9892632962. The cubic root of 5726704000 is about 1789.1012206045.

The spelling of 5726704000 in words is "five billion, seven hundred twenty-six million, seven hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 128 146 160 200 250 292 320 365 400 500 584 640 730 800 1000 1168 1460 1600 1825 2000 2336 2920 3200 3650 4000 4672 4903 5840 7300 8000 9125 9344 9806 11680 14600 16000 18250 19612 23360 24515 29200 36500 39224 46720 49030 58400 73000 78448 98060 116800 122575 146000 156896 196120 233600 245150 292000 313792 357919 392240 490300 584000 612875 627584 715838 784480 980600 1168000 1225750 1431676 1568960 1789595 1961200 2451500 2863352 3137920 3579190 3922400 4903000 5726704 7158380 7844800 8947975 9806000 11453408 14316760 15689600 17895950 19612000 22906816 28633520 35791900 39224000 44739875 45813632 57267040 71583800 78448000 89479750 114534080 143167600 178959500 229068160 286335200 357919000 572670400 715838000 1145340800 1431676000 2863352000 5726704000