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830880544 = 251311091801
BaseRepresentation
bin110001100001100…
…011101100100000
32010220110002211111
4301201203230200
53200201134134
6214240353104
726406240154
oct6141435440
92126402744
10830880544
1139701293a
121b2315794
131031a58c0
147c4c7064
154ce26c64
hex31863b20

830880544 has 48 divisors (see below), whose sum is σ = 1764194040. Its totient is φ = 382924800.

The previous prime is 830880541. The next prime is 830880551. The reversal of 830880544 is 445088038.

It can be written as a sum of positive squares in 4 ways, for example, as 154256400 + 676624144 = 12420^2 + 26012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 830880497 and 830880506.

It is not an unprimeable number, because it can be changed into a prime (830880541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460444 + ... + 462244.

Almost surely, 2830880544 is an apocalyptic number.

It is an amenable number.

830880544 is an abundant number, since it is smaller than the sum of its proper divisors (933313496).

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

830880544 is a wasteful number, since it uses less digits than its factorization.

830880544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 830880544 is about 28824.9985949696. The cubic root of 830880544 is about 940.1118563133. Note that the first 3 decimals are identical.

The spelling of 830880544 in words is "eight hundred thirty million, eight hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1109 1801 2218 3602 4436 7204 8872 14408 14417 17744 23413 28816 28834 35488 46826 57632 57668 93652 115336 187304 230672 374608 461344 749216 1997309 3994618 7989236 15978472 25965017 31956944 51930034 63913888 103860068 207720136 415440272 830880544