Search a number
-
+
916538064 = 243133147381
BaseRepresentation
bin110110101000010…
…100001011010000
32100212121221212020
4312220110023100
53334113204224
6230540331440
731466305431
oct6650241320
92325557766
10916538064
114303a8682
12216b43b80
13117b67120
1489a23488
15556e6c79
hex36a142d0

916538064 has 80 divisors (see below), whose sum is σ = 2632164864. Its totient is φ = 272908800.

The previous prime is 916538059. The next prime is 916538089. The reversal of 916538064 is 460835619.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4347 + ... + 43034.

Almost surely, 2916538064 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 916538064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316082432).

916538064 is an abundant number, since it is smaller than the sum of its proper divisors (1715626800).

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

916538064 is a wasteful number, since it uses less digits than its factorization.

916538064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47436 (or 47430 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 916538064 is about 30274.3796633391. The cubic root of 916538064 is about 971.3673506813.

The spelling of 916538064 in words is "nine hundred sixteen million, five hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 47381 94762 142143 189524 284286 379048 568572 615953 758096 1137144 1231906 1468811 1847859 2274288 2463812 2937622 3695718 4406433 4927624 5875244 7391436 8812866 9855248 11750488 14782872 17625732 19094543 23500976 29565744 35251464 38189086 57283629 70502928 76378172 114567258 152756344 229134516 305512688 458269032 916538064