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3896404920 = 2332510823347
BaseRepresentation
bin1110100000111110…
…0110101110111000
3101001112202212201100
43220033212232320
530434434424140
61442345251400
7165361616052
oct35017465670
911045685640
103896404920
11171a467761
12908a93b60
134a131c755
1428d6a88d2
1517c110530
hexe83e6bb8

3896404920 has 48 divisors (see below), whose sum is σ = 12663317160. Its totient is φ = 1039041216.

The previous prime is 3896404891. The next prime is 3896404927. The reversal of 3896404920 is 294046983.

3896404920 is a `hidden beast` number, since 38 + 96 + 40 + 492 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3896404927) 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, 5411314 + ... + 5412033.

Almost surely, 23896404920 is an apocalyptic number.

3896404920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3896404920 is an abundant number, since it is smaller than the sum of its proper divisors (8766912240).

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

3896404920 is a wasteful number, since it uses less digits than its factorization.

3896404920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10823364 (or 10823357 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3896404920 is about 62421.1896714569. The cubic root of 3896404920 is about 1573.5771034157.

The spelling of 3896404920 in words is "three billion, eight hundred ninety-six million, four hundred four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 10823347 21646694 32470041 43293388 54116735 64940082 86586776 97410123 108233470 129880164 162350205 194820246 216466940 259760328 324700410 389640492 432933880 487050615 649400820 779280984 974101230 1298801640 1948202460 3896404920