Search a number
-
+
64094976 = 283411281
BaseRepresentation
bin1111010010000…
…0001100000000
311110121100210000
43310200030000
5112402014401
610205440000
71405540551
oct364401400
9143540700
1064094976
11331a8560
1219570000
1310381b2a
148726328
155961186
hex3d20300

64094976 has 180 divisors, whose sum is σ = 209236104. Its totient is φ = 19353600.

The previous prime is 64094971. The next prime is 64094977. The reversal of 64094976 is 67949046.

It is not an unprimeable number, because it can be changed into a prime (64094971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227956 + ... + 228236.

Almost surely, 264094976 is an apocalyptic number.

64094976 is a gapful number since it is divisible by the number (66) 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 64094976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104618052).

64094976 is an abundant number, since it is smaller than the sum of its proper divisors (145141128).

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

64094976 is a wasteful number, since it uses less digits than its factorization.

64094976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 64094976 is about 8005.9337993766. The cubic root of 64094976 is about 400.1977688692.

The spelling of 64094976 in words is "sixty-four million, ninety-four thousand, nine hundred seventy-six".