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4104254320 = 245234747459
BaseRepresentation
bin1111010010100001…
…1111001101110000
3101121000212201111021
43310220133031300
531401142114240
61515132225224
7203464405015
oct36450371560
911530781437
104104254320
111816821021
1296660b214
135053c476a
142ad13170c
151904ba54a
hexf4a1f370

4104254320 has 80 divisors (see below), whose sum is σ = 10169349120. Its totient is φ = 1536879872.

The previous prime is 4104254299. The next prime is 4104254321. The reversal of 4104254320 is 234524014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104254321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62751 + ... + 110209.

It is an arithmetic number, because the mean of its divisors is an integer number (127116864).

Almost surely, 24104254320 is an apocalyptic number.

4104254320 is a gapful number since it is divisible by the number (40) 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 4104254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084674560).

4104254320 is an abundant number, since it is smaller than the sum of its proper divisors (6065094800).

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

4104254320 is a wasteful number, since it uses less digits than its factorization.

4104254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47542 (or 47536 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4104254320 is about 64064.4544189678. The cubic root of 4104254320 is about 1601.0740600855.

Adding to 4104254320 its reverse (234524014), we get a palindrome (4338778334).

The spelling of 4104254320 in words is "four billion, one hundred four million, two hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1840 1880 2162 3760 4324 5405 8648 10810 17296 21620 43240 47459 86480 94918 189836 237295 379672 474590 759344 949180 1091557 1898360 2183114 2230573 3796720 4366228 4461146 5457785 8732456 8922292 10915570 11152865 17464912 17844584 21831140 22305730 35689168 43662280 44611460 51303179 87324560 89222920 102606358 178445840 205212716 256515895 410425432 513031790 820850864 1026063580 2052127160 4104254320