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532414944 = 253629787
BaseRepresentation
bin11111101111000…
…000000111100000
31101002211111000000
4133233000013200
52042244234234
6124455300000
716123311105
oct3757000740
91332744000
10532414944
11253597256
1212a37a600
13863c4339
14509d2aac
1531b1c899
hex1fbc01e0

532414944 has 168 divisors, whose sum is σ = 1627826760. Its totient is φ = 171134208.

The previous prime is 532414943. The next prime is 532414957. The reversal of 532414944 is 449414235.

532414944 is a `hidden beast` number, since 532 + 41 + 49 + 44 = 666.

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 = 532414899 and 532414908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532414943) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 676119 + ... + 676905.

It is an arithmetic number, because the mean of its divisors is an integer number (9689445).

Almost surely, 2532414944 is an apocalyptic number.

532414944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532414944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813913380).

532414944 is an abundant number, since it is smaller than the sum of its proper divisors (1095411816).

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

532414944 is an equidigital number, since it uses as much as digits as its factorization.

532414944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 821 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 532414944 is about 23074.1184880376. The cubic root of 532414944 is about 810.4945128485.

It can be divided in two parts, 53241 and 4944, that added together give a palindrome (58185).

The spelling of 532414944 in words is "five hundred thirty-two million, four hundred fourteen thousand, nine hundred forty-four".