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4087968 = 25397439
BaseRepresentation
bin1111100110000010100000
321200200122020
433212002200
52021303333
6223341440
746514163
oct17460240
97620566
104087968
112342395
121451880
13b01921
14785ada
1555b3b3
hex3e60a0

4087968 has 48 divisors (see below), whose sum is σ = 10866240. Its totient is φ = 1345536.

The previous prime is 4087957. The next prime is 4087969. The reversal of 4087968 is 8697804.

It can be divided in two parts, 408796 and 8, that added together give a palindrome (408804).

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-2 number, since 2×40879682 = 33422964738048, which contains 22 as substring.

It is a partition number, being equal to the number of ways a set of 70 identical objects can be partitioned into subset.

It is not an unprimeable number, because it can be changed into a prime (4087969) 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, 9093 + ... + 9531.

It is an arithmetic number, because the mean of its divisors is an integer number (226380).

Almost surely, 24087968 is an apocalyptic number.

4087968 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 4087968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433120).

4087968 is an abundant number, since it is smaller than the sum of its proper divisors (6778272).

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

4087968 is a wasteful number, since it uses less digits than its factorization.

4087968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4087968 is about 2021.8723995346. The cubic root of 4087968 is about 159.8953482316.

The spelling of 4087968 in words is "four million, eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 439 582 776 878 1164 1317 1552 1756 2328 2634 3104 3512 4656 5268 7024 9312 10536 14048 21072 42144 42583 85166 127749 170332 255498 340664 510996 681328 1021992 1362656 2043984 4087968