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532742640 = 24352718191
BaseRepresentation
bin11111110000010…
…000000111110000
31101010110010111220
4133300100013300
52042340231030
6124510305040
716126144353
oct3760200760
91333403456
10532742640
112537a0481
1212a4b8180
13864aa541
1450a7a29a
1531b84a10
hex1fc101f0

532742640 has 80 divisors (see below), whose sum is σ = 1657798656. Its totient is φ = 141523200.

The previous prime is 532742633. The next prime is 532742641. The reversal of 532742640 is 46247235.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532742641) 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 15 ways as a sum of consecutive naturals, for example, 60945 + ... + 69135.

Almost surely, 2532742640 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 532742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828899328).

532742640 is an abundant number, since it is smaller than the sum of its proper divisors (1125056016).

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

532742640 is a wasteful number, since it uses less digits than its factorization.

532742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 532742640 is about 23081.2183387273. The cubic root of 532742640 is about 810.6607624633.

Adding to 532742640 its reverse (46247235), we get a palindrome (578989875).

The spelling of 532742640 in words is "five hundred thirty-two million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 271 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 8191 10840 13008 16260 16382 21680 24573 32520 32764 40955 49146 65040 65528 81910 98292 122865 131056 163820 196584 245730 327640 393168 491460 655280 982920 1965840 2219761 4439522 6659283 8879044 11098805 13318566 17758088 22197610 26637132 33296415 35516176 44395220 53274264 66592830 88790440 106548528 133185660 177580880 266371320 532742640