Search a number
-
+
532680192 = 29331131113
BaseRepresentation
bin11111110000000…
…000111000000000
31101010022221212000
4133300000320000
52042331231232
6124505104000
716125464322
oct3760007000
91333287760
10532680192
11253758570
1212a488000
1386487ca5
1450a61612
1531b7127c
hex1fc00e00

532680192 has 320 divisors, whose sum is σ = 1791313920. Its totient is φ = 154828800.

The previous prime is 532680107. The next prime is 532680199. The reversal of 532680192 is 291086235.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532680199) 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, 4713928 + ... + 4714040.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2532680192 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 532680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895656960).

532680192 is an abundant number, since it is smaller than the sum of its proper divisors (1258633728).

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

532680192 is a wasteful number, since it uses less digits than its factorization.

532680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 532680192 is about 23079.8655108733. The cubic root of 532680192 is about 810.6290860541.

The spelling of 532680192 in words is "five hundred thirty-two million, six hundred eighty thousand, one hundred ninety-two".