Search a number
-
+
824930848 = 25717212743
BaseRepresentation
bin110001001010110…
…111001000100000
32010111020211101101
4301022313020200
53142140241343
6213505044144
726304540130
oct6112671040
92114224341
10824930848
11393719835
121b0326654
13101ba1781
147b7b8ac0
154c64de4d
hex312b7220

824930848 has 72 divisors (see below), whose sum is σ = 1971853632. Its totient is φ = 332719104.

The previous prime is 824930833. The next prime is 824930881. The reversal of 824930848 is 848039428.

It is a junction number, because it is equal to n+sod(n) for n = 824930798 and 824930807.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58365 + ... + 71107.

It is an arithmetic number, because the mean of its divisors is an integer number (27386856).

Almost surely, 2824930848 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 824930848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985926816).

824930848 is an abundant number, since it is smaller than the sum of its proper divisors (1146922784).

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

824930848 is a wasteful number, since it uses less digits than its factorization.

824930848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12794 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 824930848 is about 28721.6094256572. The cubic root of 824930848 is about 937.8625221507.

The spelling of 824930848 in words is "eight hundred twenty-four million, nine hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 476 544 578 952 1156 1904 2023 2312 3808 4046 4624 8092 9248 12743 16184 25486 32368 50972 64736 89201 101944 178402 203888 216631 356804 407776 433262 713608 866524 1427216 1516417 1733048 2854432 3032834 3466096 3682727 6065668 6932192 7365454 12131336 14730908 24262672 25779089 29461816 48525344 51558178 58923632 103116356 117847264 206232712 412465424 824930848