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4125648 = 2432337101
BaseRepresentation
bin1111101111001111010000
321202121022210
433233033100
52024010043
6224232120
750032062
oct17571720
97677283
104125648
11236872a
12146b640
13b15b17
14795732
15567633
hex3ef3d0

4125648 has 80 divisors (see below), whose sum is σ = 11534976. Its totient is φ = 1267200.

The previous prime is 4125647. The next prime is 4125673. The reversal of 4125648 is 8465214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40798 + ... + 40898.

Almost surely, 24125648 is an apocalyptic number.

4125648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767488).

4125648 is an abundant number, since it is smaller than the sum of its proper divisors (7409328).

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

4125648 is a wasteful number, since it uses less digits than its factorization.

4125648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 4125648 is about 2031.1691214667. The cubic root of 4125648 is about 160.3851139681.

The spelling of 4125648 in words is "four million, one hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 101 111 138 148 184 202 222 276 296 303 368 404 444 552 592 606 808 851 888 1104 1212 1616 1702 1776 2323 2424 2553 3404 3737 4646 4848 5106 6808 6969 7474 9292 10212 11211 13616 13938 14948 18584 20424 22422 27876 29896 37168 40848 44844 55752 59792 85951 89688 111504 171902 179376 257853 343804 515706 687608 1031412 1375216 2062824 4125648