Search a number
-
+
8038072 = 237143537
BaseRepresentation
bin11110101010011010111000
3120010101011101
4132222122320
54024204242
6444141144
7125215420
oct36523270
916111141
108038072
1145a0139
1228377b4
131885873
1410d3480
15a8b9b7
hex7aa6b8

8038072 has 16 divisors (see below), whose sum is σ = 17224560. Its totient is φ = 3444864.

The previous prime is 8038061. The next prime is 8038097. The reversal of 8038072 is 2708308.

It is a happy number.

It is a super-2 number, since 2×80380722 = 129221202954368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 8038072.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 71713 + ... + 71824.

It is an arithmetic number, because the mean of its divisors is an integer number (1076535).

Almost surely, 28038072 is an apocalyptic number.

It is an amenable number.

8038072 is an abundant number, since it is smaller than the sum of its proper divisors (9186488).

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

8038072 is a wasteful number, since it uses less digits than its factorization.

8038072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143550 (or 143546 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 8038072 is about 2835.1493787806. The cubic root of 8038072 is about 200.3167647024.

The spelling of 8038072 in words is "eight million, thirty-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 56 143537 287074 574148 1004759 1148296 2009518 4019036 8038072