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532870272 = 273311107131
BaseRepresentation
bin11111110000101…
…111010010000000
31101010200121121000
4133300233102000
52042403322042
6124513132000
716130215434
oct3760572200
91333617530
10532870272
11253878360
1212a55a000
138652366c
1450ab09c4
1531bac74c
hex1fc2f480

532870272 has 256 divisors, whose sum is σ = 1744934400. Its totient is φ = 158745600.

The previous prime is 532870267. The next prime is 532870277. The reversal of 532870272 is 272078235.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (532870267) and next prime (532870277).

It is a super-3 number, since 3×5328702723 (a number of 27 digits) contains 333 as substring.

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 (532870277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4067647 + ... + 4067777.

It is an arithmetic number, because the mean of its divisors is an integer number (6816150).

Almost surely, 2532870272 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 532870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872467200).

532870272 is an abundant number, since it is smaller than the sum of its proper divisors (1212064128).

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

532870272 is a wasteful number, since it uses less digits than its factorization.

532870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 532870272 is about 23083.9830185347. The cubic root of 532870272 is about 810.7254954038.

The spelling of 532870272 in words is "five hundred thirty-two million, eight hundred seventy thousand, two hundred seventy-two".