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4097812560 = 243517074219
BaseRepresentation
bin1111010000111111…
…1010100001010000
3101120120202110001120
43310033322201100
531343020000220
61514342202240
7203355555252
oct36417724120
911516673046
104097812560
111813121256
12964423380
13503c7a67a
142ac335cd2
1518eb46a40
hexf43fa850

4097812560 has 40 divisors (see below), whose sum is σ = 12703219680. Its totient is φ = 1092749952.

The previous prime is 4097812553. The next prime is 4097812561. The reversal of 4097812560 is 652187904.

4097812560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097812561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8536870 + ... + 8537349.

It is an arithmetic number, because the mean of its divisors is an integer number (317580492).

Almost surely, 24097812560 is an apocalyptic number.

4097812560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4097812560 is an abundant number, since it is smaller than the sum of its proper divisors (8605407120).

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

4097812560 is a wasteful number, since it uses less digits than its factorization.

4097812560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17074235 (or 17074229 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 4097812560 is about 64014.1590587582. The cubic root of 4097812560 is about 1600.2359756121.

The spelling of 4097812560 in words is "four billion, ninety-seven million, eight hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17074219 34148438 51222657 68296876 85371095 102445314 136593752 170742190 204890628 256113285 273187504 341484380 409781256 512226570 682968760 819562512 1024453140 1365937520 2048906280 4097812560