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4095972104 = 237596718503
BaseRepresentation
bin1111010000100011…
…1001001100001000
3101120110021221102112
43310020321030020
531342032101404
61514234521452
7203334121430
oct36410711410
911513257375
104095972104
111812084514
12963896288
13503784a43
142abdb72c0
1518e8d156e
hexf4239308

4095972104 has 64 divisors (see below), whose sum is σ = 9059558400. Its totient is φ = 1699815744.

The previous prime is 4095972103. The next prime is 4095972137. The reversal of 4095972104 is 4012795904.

It is not an unprimeable number, because it can be changed into a prime (4095972103) by changing a digit.

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, 212117 + ... + 230619.

It is an arithmetic number, because the mean of its divisors is an integer number (141555600).

Almost surely, 24095972104 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 4095972104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529779200).

4095972104 is an abundant number, since it is smaller than the sum of its proper divisors (4963586296).

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

4095972104 is a wasteful number, since it uses less digits than its factorization.

4095972104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18642 (or 18638 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 4095972104 is about 63999.7820621289. The cubic root of 4095972104 is about 1599.9963677001.

The spelling of 4095972104 in words is "four billion, ninety-five million, nine hundred seventy-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 59 67 118 134 236 268 413 469 472 536 826 938 1652 1876 3304 3752 3953 7906 15812 18503 27671 31624 37006 55342 74012 110684 129521 148024 221368 259042 518084 1036168 1091677 1239701 2183354 2479402 4366708 4958804 7641739 8677907 8733416 9917608 15283478 17355814 30566956 34711628 61133912 69423256 73142359 146284718 292569436 511996513 585138872 1023993026 2047986052 4095972104