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532906752 = 28374172
BaseRepresentation
bin11111110000111…
…000001100000000
31101010202110122010
4133300320030000
52042411004002
6124514012520
716130430000
oct3760701400
91333673563
10532906752
112538a2804
1212a577140
1386537151
1450ac0000
1531bb846c
hex1fc38300

532906752 has 270 divisors, whose sum is σ = 1757649908. Its totient is φ = 143302656.

The previous prime is 532906747. The next prime is 532906753. The reversal of 532906752 is 257609235.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 532906752.

It is not an unprimeable number, because it can be changed into a prime (532906753) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31347448 + ... + 31347464.

Almost surely, 2532906752 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 532906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878824954).

532906752 is an abundant number, since it is smaller than the sum of its proper divisors (1224743156).

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

532906752 is an frugal number, since it uses more digits than its factorization.

532906752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 532906752 is about 23084.7731632780. The cubic root of 532906752 is about 810.7439955859.

The spelling of 532906752 in words is "five hundred thirty-two million, nine hundred six thousand, seven hundred fifty-two".