Search a number
-
+
901897056 = 253217184211
BaseRepresentation
bin110101110000011…
…101101101100000
32022212002010011200
4311300131231200
53321341201211
6225254441200
731230666324
oct6560355540
92285063150
10901897056
11423108675
12212063200
13114b0bcc8
1487ad1984
15542a3b56
hex35c1db60

901897056 has 72 divisors (see below), whose sum is σ = 2715653304. Its totient is φ = 282946560.

The previous prime is 901897037. The next prime is 901897067. The reversal of 901897056 is 650798109.

901897056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87210 + ... + 97001.

It is an arithmetic number, because the mean of its divisors is an integer number (37717407).

Almost surely, 2901897056 is an apocalyptic number.

901897056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

901897056 is an abundant number, since it is smaller than the sum of its proper divisors (1813756248).

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

901897056 is a wasteful number, since it uses less digits than its factorization.

901897056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184244 (or 184233 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 901897056 is about 30031.6009563260. The cubic root of 901897056 is about 966.1672742490.

The spelling of 901897056 in words is "nine hundred one million, eight hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 184211 368422 552633 736844 1105266 1473688 1657899 2210532 2947376 3131587 3315798 4421064 5894752 6263174 6631596 8842128 9394761 12526348 13263192 17684256 18789522 25052696 26526384 28184283 37579044 50105392 53052768 56368566 75158088 100210784 112737132 150316176 225474264 300632352 450948528 901897056