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4025760 = 25358387
BaseRepresentation
bin1111010110110110100000
321120112022020
433112312200
52012311020
6222141440
746134624
oct17266640
97515266
104025760
1122aa682
121421880
13aac50b
1476b184
15547c40
hex3d6da0

4025760 has 48 divisors (see below), whose sum is σ = 12682656. Its totient is φ = 1073408.

The previous prime is 4025743. The next prime is 4025779. The reversal of 4025760 is 675204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×40257603 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4025760.

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, 3714 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (264222).

Almost surely, 24025760 is an apocalyptic number.

4025760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4025760 is an abundant number, since it is smaller than the sum of its proper divisors (8656896).

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

4025760 is a wasteful number, since it uses less digits than its factorization.

4025760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4025760 is about 2006.4296648525. The cubic root of 4025760 is about 159.0801383927.

The spelling of 4025760 in words is "four million, twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8387 16774 25161 33548 41935 50322 67096 83870 100644 125805 134192 167740 201288 251610 268384 335480 402576 503220 670960 805152 1006440 1341920 2012880 4025760