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8470728 = 233276
BaseRepresentation
bin100000010100…
…000011001000
3120221100122200
4200110003020
54132030403
6501320200
7132000000
oct40240310
916840580
108470728
114866202
122a06060
1319a7786
1411a7000
15b24ca3
hex8140c8

8470728 has 84 divisors (see below), whose sum is σ = 26765115. Its totient is φ = 2420208.

The previous prime is 8470711. The next prime is 8470729. The reversal of 8470728 is 8270748.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4235364 + 4235364 = 2058^2 + 2058^2 .

It is a tau number, because it is divible by the number of its divisors (84).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2058.

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

It is a junction number, because it is equal to n+sod(n) for n = 8470692 and 8470701.

It is not an unprimeable number, because it can be changed into a prime (8470729) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1210101 + ... + 1210107.

Almost surely, 28470728 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 8470728

8470728 is an abundant number, since it is smaller than the sum of its proper divisors (18294387).

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

8470728 is an frugal number, since it uses more digits than its factorization.

8470728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 12 counting only the distinct ones).

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

The square root of 8470728 is about 2910.4515113638. The cubic root of 8470728 is about 203.8482146591.

Multiplying 8470728 by its product of nonzero digits (25088), we get a square (212513624064 = 4609922).

The spelling of 8470728 in words is "eight million, four hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2401 2744 3087 3528 4116 4802 6174 7203 8232 9604 12348 14406 16807 19208 21609 24696 28812 33614 43218 50421 57624 67228 86436 100842 117649 134456 151263 172872 201684 235298 302526 352947 403368 470596 605052 705894 941192 1058841 1210104 1411788 2117682 2823576 4235364 8470728