Search a number
-
+
4015995104 = 251111409077
BaseRepresentation
bin1110111101011111…
…0011100011100000
3101100212210200121102
43233113303203200
531211043320404
61502300413532
7201343252352
oct35727634340
911325720542
104015995104
111780a19620
12940b472a8
134c0031c84
142a15190d2
1518788471e
hexef5f38e0

4015995104 has 24 divisors (see below), whose sum is σ = 8625262968. Its totient is φ = 1825452160.

The previous prime is 4015995101. The next prime is 4015995107.

4015995104 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4015995101) and next prime (4015995107).

It is a super-2 number, since 2×40159951042 = 32256433350703941632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4015995101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5704187 + ... + 5704890.

It is an arithmetic number, because the mean of its divisors is an integer number (359385957).

Almost surely, 24015995104 is an apocalyptic number.

4015995104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4015995104 is an abundant number, since it is smaller than the sum of its proper divisors (4609267864).

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

4015995104 is a wasteful number, since it uses less digits than its factorization.

4015995104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11409098 (or 11409090 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 4015995104 is about 63371.8794419102. The cubic root of 4015995104 is about 1589.5141249738.

The spelling of 4015995104 in words is "four billion, fifteen million, nine hundred ninety-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 11409077 22818154 45636308 91272616 125499847 182545232 250999694 365090464 501999388 1003998776 2007997552 4015995104