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69472 = 2513167
BaseRepresentation
bin10000111101100000
310112022001
4100331200
54210342
61253344
7406354
oct207540
9115261
1069472
1148217
1234254
1325810
141b464
15158b7
hex10f60

69472 has 24 divisors (see below), whose sum is σ = 148176. Its totient is φ = 31872.

The previous prime is 69467. The next prime is 69473. The reversal of 69472 is 27496.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 65 + 95 + 44 + 73 + 211 .

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 69472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

69472 is a Friedman number, since it can be written as 6^7/4-2^9, using all its digits and the basic arithmetic operations.

269472 is an apocalyptic number.

69472 is the 167-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74088).

69472 is an abundant number, since it is smaller than the sum of its proper divisors (78704).

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

69472 is a wasteful number, since it uses less digits than its factorization.

69472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 69472 is about 263.5754161526. The cubic root of 69472 is about 41.1089704808.

The spelling of 69472 in words is "sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 167 208 334 416 668 1336 2171 2672 4342 5344 8684 17368 34736 69472