Search a number
-
+
3075902064 = 243253616607
BaseRepresentation
bin1011011101010110…
…1000101001110000
321221100212000101200
42313111220221300
522244412331224
61225115131200
7136136510334
oct26725505160
97840760350
103075902064
1113392a2824
1271a143b00
133a033b5c1
142127237c4
151300885c9
hexb7568a70

3075902064 has 120 divisors (see below), whose sum is σ = 8915804352. Its totient is φ = 989314560.

The previous prime is 3075902017. The next prime is 3075902069. The reversal of 3075902064 is 4602095703.

3075902064 is a `hidden beast` number, since 3 + 0 + 7 + 590 + 2 + 0 + 64 = 666.

3075902064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30759020642 = 18922347014638920192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3075902069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462249 + ... + 468855.

Almost surely, 23075902064 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 3075902064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457902176).

3075902064 is an abundant number, since it is smaller than the sum of its proper divisors (5839902288).

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

3075902064 is a wasteful number, since it uses less digits than its factorization.

3075902064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3075902064 is about 55460.8155727988. The cubic root of 3075902064 is about 1454.3117104490.

Adding to 3075902064 its reverse (4602095703), we get a palindrome (7677997767).

The spelling of 3075902064 in words is "three billion, seventy-five million, nine hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 61 72 106 122 144 159 183 212 244 318 366 424 477 488 549 636 732 848 954 976 1098 1272 1464 1908 2196 2544 2928 3233 3816 4392 6466 6607 7632 8784 9699 12932 13214 19398 19821 25864 26428 29097 38796 39642 51728 52856 58194 59463 77592 79284 105712 116388 118926 155184 158568 232776 237852 317136 350171 403027 465552 475704 700342 806054 951408 1050513 1209081 1400684 1612108 2101026 2418162 2801368 3151539 3224216 3627243 4202052 4836324 5602736 6303078 6448432 7254486 8404104 9672648 12606156 14508972 16808208 19345296 21360431 25212312 29017944 42720862 50424624 58035888 64081293 85441724 128162586 170883448 192243879 256325172 341766896 384487758 512650344 768975516 1025300688 1537951032 3075902064