Search a number
-
+
933682064 = 24721319091
BaseRepresentation
bin110111101001101…
…101101110010000
32102001212222000012
4313221231232100
53403010311224
6232352014052
732065111100
oct6751555620
92361788005
10933682064
1143a048177
12220831328
1311b58a5c3
148c007200
1556e8180e
hex37a6db90

933682064 has 60 divisors (see below), whose sum is σ = 2120654448. Its totient is φ = 397051200.

The previous prime is 933682019. The next prime is 933682081. The reversal of 933682064 is 460286339.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98159 + ... + 107249.

Almost surely, 2933682064 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 933682064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060327224).

933682064 is an abundant number, since it is smaller than the sum of its proper divisors (1186972384).

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

933682064 is a wasteful number, since it uses less digits than its factorization.

933682064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9244 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 933682064 is about 30556.2115452816. The cubic root of 933682064 is about 977.3865058368.

The spelling of 933682064 in words is "nine hundred thirty-three million, six hundred eighty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 131 196 262 392 524 784 917 1048 1834 2096 3668 6419 7336 9091 12838 14672 18182 25676 36364 51352 63637 72728 102704 127274 145456 254548 445459 509096 890918 1018192 1190921 1781836 2381842 3563672 4763684 7127344 8336447 9527368 16672894 19054736 33345788 58355129 66691576 116710258 133383152 233420516 466841032 933682064