Search a number
-
+
272046528 = 26321347773
BaseRepresentation
bin10000001101110…
…001100111000000
3200221220101200100
4100031301213000
51024120442103
642554522400
76512233365
oct2015614700
9627811610
10272046528
1112a621646
1277136400
13444914a0
14281b846c
1518d3b5a3
hex103719c0

272046528 has 168 divisors, whose sum is σ = 858731328. Its totient is φ = 81819648.

The previous prime is 272046499. The next prime is 272046557. The reversal of 272046528 is 825640272.

It is an interprime number because it is at equal distance from previous prime (272046499) and next prime (272046557).

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 = 272046492 and 272046501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351550 + ... + 352322.

It is an arithmetic number, because the mean of its divisors is an integer number (5111496).

Almost surely, 2272046528 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 272046528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429365664).

272046528 is an abundant number, since it is smaller than the sum of its proper divisors (586684800).

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

272046528 is a wasteful number, since it uses less digits than its factorization.

272046528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 272046528 is about 16493.8330293477. The cubic root of 272046528 is about 647.9593024280.

The spelling of 272046528 in words is "two hundred seventy-two million, forty-six thousand, five hundred twenty-eight".