Search a number
-
+
535429272 = 233721931773
BaseRepresentation
bin11111111010100…
…000000010011000
31101022111121212210
4133322200002120
52044032214042
6125044035120
716161034200
oct3772400230
91338447783
10535429272
11255265a34
1212b392aa0
1386c0b371
1451179400
1532015a9c
hex1fea0098

535429272 has 192 divisors, whose sum is σ = 1694131200. Its totient is φ = 140071680.

The previous prime is 535429243. The next prime is 535429277. The reversal of 535429272 is 272924535.

It is a self number, because there is not a number n which added to its sum of digits gives 535429272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535429277) 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 47 ways as a sum of consecutive naturals, for example, 692278 + ... + 693050.

It is an arithmetic number, because the mean of its divisors is an integer number (8823600).

Almost surely, 2535429272 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 535429272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847065600).

535429272 is an abundant number, since it is smaller than the sum of its proper divisors (1158701928).

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

535429272 is a wasteful number, since it uses less digits than its factorization.

535429272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 535429272 is about 23139.3446752496. The cubic root of 535429272 is about 812.0212043611.

The spelling of 535429272 in words is "five hundred thirty-five million, four hundred twenty-nine thousand, two hundred seventy-two".