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664264848 = 243133728771
BaseRepresentation
bin100111100101111…
…110000010010000
31201021221011001210
4213211332002100
52330022433343
6145525300120
722314105132
oct4745760220
91637834053
10664264848
11310a62015
12166564640
13a7809b30
1464315052
153d4b4333
hex2797e090

664264848 has 80 divisors (see below), whose sum is σ = 1898031296. Its totient is φ = 198858240.

The previous prime is 664264837. The next prime is 664264873. The reversal of 664264848 is 848462466.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 664264797 and 664264806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8703 + ... + 37473.

Almost surely, 2664264848 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 664264848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949015648).

664264848 is an abundant number, since it is smaller than the sum of its proper divisors (1233766448).

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

664264848 is a wasteful number, since it uses less digits than its factorization.

664264848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28832 (or 28826 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 664264848 is about 25773.3359889635. The cubic root of 664264848 is about 872.5301114120.

The spelling of 664264848 in words is "six hundred sixty-four million, two hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 11544 23088 28771 57542 86313 115084 172626 230168 345252 374023 460336 690504 748046 1064527 1122069 1381008 1496092 2129054 2244138 2992184 3193581 4258108 4488276 5984368 6387162 8516216 8976552 12774324 13838851 17032432 17953104 25548648 27677702 41516553 51097296 55355404 83033106 110710808 166066212 221421616 332132424 664264848