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4076913825 = 325234135309
BaseRepresentation
bin1111001100000000…
…1100010010100001
3101112010102200101100
43303000030102201
531322142220300
61512314225013
7203013124065
oct36300142241
911463380340
104076913825
111802347776
12959425169
134cc84115a
142a9655aa5
1518cdb9700
hexf300c4a1

4076913825 has 36 divisors (see below), whose sum is σ = 7305721020. Its totient is φ = 2173307520.

The previous prime is 4076913823. The next prime is 4076913853. The reversal of 4076913825 is 5283196704.

4076913825 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 217149696 + 3859764129 = 14736^2 + 62127^2 .

It is not a de Polignac number, because 4076913825 - 21 = 4076913823 is a prime.

It is a super-2 number, since 2×40769138252 = 33242452672952261250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

4076913825 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (4076913823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 765271 + ... + 770579.

It is an arithmetic number, because the mean of its divisors is an integer number (202936695).

It is a 1-persistent number, because it is pandigital, but 2⋅4076913825 = 8153827650 is not.

Almost surely, 24076913825 is an apocalyptic number.

4076913825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4076913825 is the 34130-th nonagonal number.

It is an amenable number.

4076913825 is a deficient number, since it is larger than the sum of its proper divisors (3228807195).

4076913825 is a wasteful number, since it uses less digits than its factorization.

4076913825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4076913825 is about 63850.7151486967. The cubic root of 4076913825 is about 1597.5109508679.

The spelling of 4076913825 in words is "four billion, seventy-six million, nine hundred thirteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3413 5309 10239 15927 17065 26545 30717 47781 51195 79635 85325 132725 153585 238905 255975 398175 767925 1194525 18119617 54358851 90598085 163076553 271794255 452990425 815382765 1358971275 4076913825