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4162825648 = 242917351859
BaseRepresentation
bin1111100000011111…
…1010110110110000
3101202010002110020201
43320013322312300
532011140410043
61525023444544
7205105301632
oct37007726660
911663073221
104162825648
111846896583
12982156754
13514591357
142b6c1aa52
151956d9c4d
hexf81fadb0

4162825648 has 40 divisors (see below), whose sum is σ = 8391985200. Its totient is φ = 1997985024.

The previous prime is 4162825633. The next prime is 4162825651. The reversal of 4162825648 is 8465282614.

It is a junction number, because it is equal to n+sod(n) for n = 4162825598 and 4162825607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54343 + ... + 106201.

It is an arithmetic number, because the mean of its divisors is an integer number (209799630).

Almost surely, 24162825648 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 4162825648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195992600).

4162825648 is an abundant number, since it is smaller than the sum of its proper divisors (4229159552).

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

4162825648 is a wasteful number, since it uses less digits than its factorization.

4162825648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52069 (or 52063 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 4162825648 is about 64519.9631741990. The cubic root of 4162825648 is about 1608.6543606261.

It can be divided in two parts, 41628256 and 48, that added together give a square (41628304 = 64522).

The spelling of 4162825648 in words is "four billion, one hundred sixty-two million, eight hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 173 232 346 464 692 1384 2768 5017 10034 20068 40136 51859 80272 103718 207436 414872 829744 1503911 3007822 6015644 8971607 12031288 17943214 24062576 35886428 71772856 143545712 260176603 520353206 1040706412 2081412824 4162825648