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8972028 = 223213191009
BaseRepresentation
bin100010001110…
…011011111100
3121212211022100
4202032123330
54244101103
6520145100
7136155342
oct42163374
917784270
108972028
1150788aa
123008190
131b219c0
141297992
15bc35a3
hex88e6fc

8972028 has 72 divisors (see below), whose sum is σ = 25734800. Its totient is φ = 2612736.

The previous prime is 8972023. The next prime is 8972053. The reversal of 8972028 is 8202798.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8971983 and 8972001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8972023) 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 23 ways as a sum of consecutive naturals, for example, 8388 + ... + 9396.

Almost surely, 28972028 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 8972028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867400).

8972028 is an abundant number, since it is smaller than the sum of its proper divisors (16762772).

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

8972028 is a wasteful number, since it uses less digits than its factorization.

8972028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8972028 is about 2995.3343719859. The cubic root of 8972028 is about 207.7926619803.

The spelling of 8972028 in words is "eight million, nine hundred seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1009 1482 2018 2223 2964 3027 4036 4446 6054 8892 9081 12108 13117 18162 19171 26234 36324 38342 39351 52468 57513 76684 78702 115026 118053 157404 172539 230052 236106 249223 345078 472212 498446 690156 747669 996892 1495338 2243007 2990676 4486014 8972028