Search a number
-
+
870972928 = 297733329
BaseRepresentation
bin110011111010011…
…111111000000000
32020200220000020121
4303322133320000
53240432113203
6222231550024
730404101450
oct6372377000
92220800217
10870972928
11407706941
1220382b314
1310b5a24c7
1483961d60
15516e60bd
hex33e9fe00

870972928 has 80 divisors (see below), whose sum is σ = 2016701280. Its totient is φ = 368050176.

The previous prime is 870972911. The next prime is 870972929. The reversal of 870972928 is 829279078.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870972929) 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, 259968 + ... + 263296.

It is an arithmetic number, because the mean of its divisors is an integer number (25208766).

Almost surely, 2870972928 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 870972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008350640).

870972928 is an abundant number, since it is smaller than the sum of its proper divisors (1145728352).

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

870972928 is an equidigital number, since it uses as much as digits as its factorization.

870972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The square root of 870972928 is about 29512.2504733204. The cubic root of 870972928 is about 954.9959989964.

The spelling of 870972928 in words is "eight hundred seventy million, nine hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 512 584 896 1022 1168 1792 2044 2336 3329 3584 4088 4672 6658 8176 9344 13316 16352 18688 23303 26632 32704 37376 46606 53264 65408 93212 106528 130816 186424 213056 243017 261632 372848 426112 486034 745696 852224 972068 1491392 1701119 1704448 1944136 2982784 3402238 3888272 5965568 6804476 7776544 11931136 13608952 15553088 27217904 31106176 54435808 62212352 108871616 124424704 217743232 435486464 870972928