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830989038 = 231123136923
BaseRepresentation
bin110001100001111…
…110001011101110
32010220122121122210
4301201332023232
53200213122123
6214242551250
726410201365
oct6141761356
92126577583
10830989038
11397087400
121b2368526
131032130b9
147c5147dc
154ce48e93
hex3187e2ee

830989038 has 48 divisors (see below), whose sum is σ = 1885782528. Its totient is φ = 243685200.

The previous prime is 830988989. The next prime is 830989043.

830989038 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4045 + ... + 40967.

It is an arithmetic number, because the mean of its divisors is an integer number (39287136).

Almost surely, 2830989038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830989038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942891264).

830989038 is an abundant number, since it is smaller than the sum of its proper divisors (1054793490).

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

830989038 is a wasteful number, since it uses less digits than its factorization.

830989038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36981 (or 36970 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 830989038 is about 28826.8804763887. The cubic root of 830989038 is about 940.1527735696.

The spelling of 830989038 in words is "eight hundred thirty million, nine hundred eighty-nine thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 7502 11253 22506 36923 73846 110769 221538 406153 812306 1144613 1218459 2289226 2436918 3433839 4467683 6867678 8935366 12590743 13403049 25181486 26806098 37772229 75544458 138498173 276996346 415494519 830989038