Search a number
-
+
830691828 = 2233231372441
BaseRepresentation
bin110001100000110…
…101100111110100
32010220002111222000
4301200311213310
53200124114303
6214232335300
726404523031
oct6140654764
92126074860
10830691828
113969a407a
121b2244530
1310313aa35
147c478388
154cddada3
hex318359f4

830691828 has 96 divisors (see below), whose sum is σ = 2264613120. Its totient is φ = 262817280.

The previous prime is 830691811. The next prime is 830691889. The reversal of 830691828 is 828196038.

830691828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339088 + ... + 341528.

It is an arithmetic number, because the mean of its divisors is an integer number (23589720).

Almost surely, 2830691828 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 830691828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132306560).

830691828 is an abundant number, since it is smaller than the sum of its proper divisors (1433921292).

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

830691828 is a wasteful number, since it uses less digits than its factorization.

830691828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 830691828 is about 28821.7249310308. The cubic root of 830691828 is about 940.0406757712.

The spelling of 830691828 in words is "eight hundred thirty million, six hundred ninety-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 137 138 207 274 276 411 414 548 621 822 828 1233 1242 1644 2441 2466 2484 3151 3699 4882 4932 6302 7323 7398 9453 9764 12604 14646 14796 18906 21969 28359 29292 37812 43938 56143 56718 65907 85077 87876 112286 113436 131814 168429 170154 224572 263628 334417 336858 340308 505287 668834 673716 1003251 1010574 1337668 1515861 2006502 2021148 3009753 3031722 4013004 6019506 6063444 7691591 9029259 12039012 15383182 18058518 23074773 30766364 36117036 46149546 69224319 92299092 138448638 207672957 276897276 415345914 830691828