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8053992 = 23361381
BaseRepresentation
bin11110101110010011101000
3120011012000000
4132232103220
54030211432
6444343000
7125313012
oct36562350
916135000
108053992
1146010a1
122844a60
13188cb9b
1410d91b2
15a9157c
hex7ae4e8

8053992 has 56 divisors (see below), whose sum is σ = 22657890. Its totient is φ = 2682720.

The previous prime is 8053987. The next prime is 8054021. The reversal of 8053992 is 2993508.

8053992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7001316 + 1052676 = 2646^2 + 1026^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5142 + ... + 6522.

Almost surely, 28053992 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 8053992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328945).

8053992 is an abundant number, since it is smaller than the sum of its proper divisors (14603898).

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

8053992 is a wasteful number, since it uses less digits than its factorization.

8053992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 8053992 is about 2837.9556021897. The cubic root of 8053992 is about 200.4489249115.

It can be divided in two parts, 8053 and 992, that added together give a triangular number (9045 = T134).

The spelling of 8053992 in words is "eight million, fifty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1381 1458 1944 2762 2916 4143 5524 5832 8286 11048 12429 16572 24858 33144 37287 49716 74574 99432 111861 149148 223722 298296 335583 447444 671166 894888 1006749 1342332 2013498 2684664 4026996 8053992