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4297064704 = 281722412
BaseRepresentation
bin1000000000010000…
…00000000100000000
3102002110200111121121
410000020000010000
532300022032304
61550221002024
7211325306302
oct40010000400
912073614547
104297064704
111905643349
129bb0b3314
1353633244a
142ca9a1972
151a23a4554
hex100200100

4297064704 has 81 divisors (see below), whose sum is σ = 9149537271. Its totient is φ = 2013757440.

The previous prime is 4297064699. The next prime is 4297064731. The reversal of 4297064704 is 4074607924.

The square root of 4297064704 is 65552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1211040000 + 3086024704 = 34800^2 + 55552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17830024 + ... + 17830264.

Almost surely, 24297064704 is an apocalyptic number.

4297064704 is the 65552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4297064704

4297064704 is an abundant number, since it is smaller than the sum of its proper divisors (4852472567).

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

4297064704 is an frugal number, since it uses more digits than its factorization.

4297064704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The cubic root of 4297064704 is about 1625.7632332933.

The spelling of 4297064704 in words is "four billion, two hundred ninety-seven million, sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 241 256 272 289 482 544 578 964 1088 1156 1928 2176 2312 3856 4097 4352 4624 7712 8194 9248 15424 16388 18496 30848 32776 36992 58081 61696 65552 69649 73984 116162 131104 139298 232324 262208 278596 464648 524416 557192 929296 987377 1048832 1114384 1858592 1974754 2228768 3717184 3949508 4457536 7434368 7899016 8915072 14868736 15798032 16785409 17830144 31596064 33570818 63192128 67141636 126384256 134283272 252768512 268566544 537133088 1074266176 2148532352 4297064704