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828141912 = 233213268059
BaseRepresentation
bin110001010111000…
…111000101011000
32010201021222010200
4301113013011120
53144001020122
6214101542200
726344042623
oct6127070530
92121258120
10828141912
11395512304
121b1414960
13102757200
147bdb2dba
154ca855ac
hex315c7158

828141912 has 72 divisors (see below), whose sum is σ = 2428721100. Its totient is φ = 254809152.

The previous prime is 828141869. The next prime is 828141913. The reversal of 828141912 is 219141828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×8281419122 = 1371638052822031488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828141913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21862 + ... + 46197.

Almost surely, 2828141912 is an apocalyptic number.

It is an amenable number.

828141912 is an abundant number, since it is smaller than the sum of its proper divisors (1600579188).

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

828141912 is a wasteful number, since it uses less digits than its factorization.

828141912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68097 (or 68077 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 828141912 is about 28777.4549256879. The cubic root of 828141912 is about 939.0778310959.

The spelling of 828141912 in words is "eight hundred twenty-eight million, one hundred forty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 68059 136118 204177 272236 408354 544472 612531 816708 884767 1225062 1633416 1769534 2450124 2654301 3539068 4900248 5308602 7078136 7962903 10617204 11501971 15925806 21234408 23003942 31851612 34505913 46007884 63703224 69011826 92015768 103517739 138023652 207035478 276047304 414070956 828141912