Search a number
-
+
46760896 = 2672133137
BaseRepresentation
bin1011001001100…
…0001111000000
310020222200220001
42302120033000
543432322041
64350125344
71105314100
oct262301700
9106880801
1046760896
1124439176
12137b0854
1398c2c90
1462d3200
15418a131
hex2c983c0

46760896 has 168 divisors, whose sum is σ = 123236736. Its totient is φ = 17418240.

The previous prime is 46760873. The next prime is 46760899. The reversal of 46760896 is 69806764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46760899) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1263790 + ... + 1263826.

It is an arithmetic number, because the mean of its divisors is an integer number (733552).

Almost surely, 246760896 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 46760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61618368).

46760896 is an abundant number, since it is smaller than the sum of its proper divisors (76475840).

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

46760896 is a wasteful number, since it uses less digits than its factorization.

46760896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 46760896 is about 6838.1939136003. The cubic root of 46760896 is about 360.2695922994.

The spelling of 46760896 in words is "forty-six million, seven hundred sixty thousand, eight hundred ninety-six".