Search a number
-
+
64842064 = 247678641
BaseRepresentation
bin1111011101011…
…0100101010000
311112000022120221
43313112211100
5113044421224
610233442424
71415101630
oct367264520
9145008527
1064842064
1133668891
1219870414
1310583bb1
14887c6c0
155a5c6e4
hex3dd6950

64842064 has 40 divisors (see below), whose sum is σ = 145738688. Its totient is φ = 27371520.

The previous prime is 64842059. The next prime is 64842073. The reversal of 64842064 is 46024846.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3184 + ... + 11824.

Almost surely, 264842064 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 64842064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72869344).

64842064 is an abundant number, since it is smaller than the sum of its proper divisors (80896624).

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

64842064 is a wasteful number, since it uses less digits than its factorization.

64842064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8723 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 64842064 is about 8052.4570163398. The cubic root of 64842064 is about 401.7466618295.

The spelling of 64842064 in words is "sixty-four million, eight hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3752 7504 8641 17282 34564 60487 69128 120974 138256 241948 483896 578947 967792 1157894 2315788 4052629 4631576 8105258 9263152 16210516 32421032 64842064