Search a number
-
+
532942080 = 28351123137
BaseRepresentation
bin11111110001000…
…000110100000000
31101010211021002120
4133301000310000
52042413121310
6124514444240
716130634666
oct3761006400
91333737076
10532942080
11253917300
1212a593680
138654a258
1450accc36
1531bc3b70
hex1fc40d00

532942080 has 432 divisors, whose sum is σ = 1983432192. Its totient is φ = 121651200.

The previous prime is 532942079. The next prime is 532942097. The reversal of 532942080 is 80249235.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14403822 + ... + 14403858.

Almost surely, 2532942080 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 532942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991716096).

532942080 is an abundant number, since it is smaller than the sum of its proper divisors (1450490112).

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

532942080 is a wasteful number, since it uses less digits than its factorization.

532942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 532942080 is about 23085.5383303054. The cubic root of 532942080 is about 810.7619107470.

The spelling of 532942080 in words is "five hundred thirty-two million, nine hundred forty-two thousand, eighty".