Search a number
-
+
3153808890 = 2325172061313
BaseRepresentation
bin1011101111111011…
…0100110111111010
322010210110002110200
42323332310313322
522424333341030
61240541023030
7141103635051
oct27376646772
98123402420
103153808890
111379274331
12740254a76
133b351800b
1421cc03398
15136d26d60
hexbbfb4dfa

3153808890 has 48 divisors (see below), whose sum is σ = 8682254568. Its totient is φ = 791543808.

The previous prime is 3153808871. The next prime is 3153808913. The reversal of 3153808890 is 988083513.

3153808890 is a `hidden beast` number, since 31 + 538 + 0 + 8 + 89 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3000519729 + 153289161 = 54777^2 + 12381^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029127 + ... + 1032186.

Almost surely, 23153808890 is an apocalyptic number.

3153808890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3153808890 is an abundant number, since it is smaller than the sum of its proper divisors (5528445678).

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

3153808890 is a wasteful number, since it uses less digits than its factorization.

3153808890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061343 (or 2061340 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 3153808890 is about 56158.7828393743. The cubic root of 3153808890 is about 1466.4878112364.

The spelling of 3153808890 in words is "three billion, one hundred fifty-three million, eight hundred eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 2061313 4122626 6183939 10306565 12367878 18551817 20613130 30919695 35042321 37103634 61839390 70084642 92759085 105126963 175211605 185518170 210253926 315380889 350423210 525634815 630761778 1051269630 1576904445 3153808890