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8084772 = 223424953
BaseRepresentation
bin11110110101110100100100
3120012202020000
4132311310210
54032203042
6445141300
7125501523
oct36656444
916182200
108084772
114622233
12285a830
1318a0bb7
1411064ba
15a9a74c
hex7b5d24

8084772 has 30 divisors (see below), whose sum is σ = 21136038. Its totient is φ = 2694816.

The previous prime is 8084771. The next prime is 8084801. The reversal of 8084772 is 2774808.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 599076 = 2736^2 + 774^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8084771) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 12153 + ... + 12800.

Almost surely, 28084772 is an apocalyptic number.

It is an amenable number.

8084772 is an abundant number, since it is smaller than the sum of its proper divisors (13051266).

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

8084772 is a wasteful number, since it uses less digits than its factorization.

8084772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24969 (or 24958 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 8084772 is about 2843.3733486829. The cubic root of 8084772 is about 200.7039526794.

Adding to 8084772 its sum of digits (36), we get a palindrome (8084808).

The spelling of 8084772 in words is "eight million, eighty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 24953 49906 74859 99812 149718 224577 299436 449154 673731 898308 1347462 2021193 2694924 4042386 8084772