Search a number
-
+
9380684256 = 253195142919
BaseRepresentation
bin10001011110010000…
…11110000111100000
3220012202102010122020
420233020132013200
5123202423344011
64150500341440
7451314333456
oct105710360740
926182363566
109380684256
113a84173a19
1219996a4880
13b665baa58
1464dbcc9d6
1539d827006
hex22f21e1e0

9380684256 has 48 divisors (see below), whose sum is σ = 25920316800. Its totient is φ = 2962320768.

The previous prime is 9380684233. The next prime is 9380684273. The reversal of 9380684256 is 6524860839.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×93806842562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9380684199 and 9380684208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2569636 + ... + 2573283.

It is an arithmetic number, because the mean of its divisors is an integer number (540006600).

Almost surely, 29380684256 is an apocalyptic number.

9380684256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9380684256 is an abundant number, since it is smaller than the sum of its proper divisors (16539632544).

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

9380684256 is a wasteful number, since it uses less digits than its factorization.

9380684256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142951 (or 5142943 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 9380684256 is about 96853.9325789098. The cubic root of 9380684256 is about 2109.0077360149.

The spelling of 9380684256 in words is "nine billion, three hundred eighty million, six hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 5142919 10285838 15428757 20571676 30857514 41143352 61715028 82286704 97715461 123430056 164573408 195430922 246860112 293146383 390861844 493720224 586292766 781723688 1172585532 1563447376 2345171064 3126894752 4690342128 9380684256