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890311904 = 25431076047
BaseRepresentation
bin110101000100010…
…001010011100000
32022001021112022222
4311010101103200
53310404440104
6224202250212
731030345346
oct6504212340
92261245288
10890311904
11417615569
1220a1b6968
131125b3aa1
1486357996
15532661be
hex351114e0

890311904 has 48 divisors (see below), whose sum is σ = 1810626048. Its totient is φ = 430668672.

The previous prime is 890311889. The next prime is 890311907. The reversal of 890311904 is 409113098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890311907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144209 + ... + 150255.

It is an arithmetic number, because the mean of its divisors is an integer number (37721376).

Almost surely, 2890311904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890311904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905313024).

890311904 is an abundant number, since it is smaller than the sum of its proper divisors (920314144).

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

890311904 is a wasteful number, since it uses less digits than its factorization.

890311904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6207 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 890311904 is about 29838.0948453483. The cubic root of 890311904 is about 962.0125257164.

The spelling of 890311904 in words is "eight hundred ninety million, three hundred eleven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 43 86 107 172 214 344 428 688 856 1376 1712 3424 4601 6047 9202 12094 18404 24188 36808 48376 73616 96752 147232 193504 260021 520042 647029 1040084 1294058 2080168 2588116 4160336 5176232 8320672 10352464 20704928 27822247 55644494 111288988 222577976 445155952 890311904