Search a number
-
+
643626216 = 233319315059
BaseRepresentation
bin100110010111001…
…111010011101000
31122212002121012000
4212113033103220
52304232014331
6143511051000
721643506162
oct4627172350
91585077160
10643626216
113003459a2
1215b670a60
13a3461b1c
14616a1932
153b7890e6
hex265cf4e8

643626216 has 128 divisors (see below), whose sum is σ = 1943040000. Its totient is φ = 196655040.

The previous prime is 643626209. The next prime is 643626229. The reversal of 643626216 is 612626346.

643626216 is a `hidden beast` number, since 6 + 4 + 3 + 626 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124695 + ... + 129753.

It is an arithmetic number, because the mean of its divisors is an integer number (15180000).

Almost surely, 2643626216 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 643626216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971520000).

643626216 is an abundant number, since it is smaller than the sum of its proper divisors (1299413784).

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

643626216 is a wasteful number, since it uses less digits than its factorization.

643626216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5114 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 643626216 is about 25369.7894354683. The cubic root of 643626216 is about 863.3984045141.

The spelling of 643626216 in words is "six hundred forty-three million, six hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 744 837 1026 1116 1178 1368 1674 1767 2052 2232 2356 3348 3534 4104 4712 5059 5301 6696 7068 10118 10602 14136 15177 15903 20236 21204 30354 31806 40472 42408 45531 60708 63612 91062 96121 121416 127224 136593 156829 182124 192242 273186 288363 313658 364248 384484 470487 546372 576726 627316 768968 865089 940974 1092744 1153452 1254632 1411461 1730178 1881948 2306904 2595267 2822922 2979751 3460356 3763896 4234383 5190534 5645844 5959502 6920712 8468766 8939253 10381068 11291688 11919004 16937532 17878506 20762136 23838008 26817759 33875064 35757012 53635518 71514024 80453277 107271036 160906554 214542072 321813108 643626216