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3905400793 = 72731091809
BaseRepresentation
bin1110100011000111…
…1010111111011001
3101002011200220201211
43220301322333121
530444240311133
61443310143121
7165531234100
oct35061727731
911064626654
103905400793
111724551468
1290bab1aa1
134a314c258
1429096b037
1517ccdabcd
hexe8c7afd9

3905400793 has 12 divisors (see below), whose sum is σ = 4605254580. Its totient is φ = 3301627392.

The previous prime is 3905400761. The next prime is 3905400853. The reversal of 3905400793 is 3970045093.

It can be written as a sum of positive squares in 2 ways, for example, as 2463831769 + 1441569024 = 49637^2 + 37968^2 .

It is not a de Polignac number, because 3905400793 - 25 = 3905400761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3905400193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542328 + ... + 549481.

It is an arithmetic number, because the mean of its divisors is an integer number (383771215).

Almost surely, 23905400793 is an apocalyptic number.

It is an amenable number.

3905400793 is a deficient number, since it is larger than the sum of its proper divisors (699853787).

3905400793 is a wasteful number, since it uses less digits than its factorization.

3905400793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091896 (or 1091889 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 3905400793 is about 62493.2059747298. The cubic root of 3905400793 is about 1574.7871778280.

The spelling of 3905400793 in words is "three billion, nine hundred five million, four hundred thousand, seven hundred ninety-three".

Divisors: 1 7 49 73 511 3577 1091809 7642663 53498641 79702057 557914399 3905400793