Search a number
-
+
4940064 = 2532171009
BaseRepresentation
bin10010110110000100100000
3100021222111100
4102312010200
52231040224
6253514400
756663343
oct22660440
910258440
104940064
1128745a8
1217a2a00
13103c71c
1492845a
15678ac9
hex4b6120

4940064 has 72 divisors (see below), whose sum is σ = 14889420. Its totient is φ = 1548288.

The previous prime is 4940051. The next prime is 4940071. The reversal of 4940064 is 4600494.

It can be written as a sum of positive squares in 2 ways, for example, as 4928400 + 11664 = 2220^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4392 + ... + 5400.

Almost surely, 24940064 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 4940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444710).

4940064 is an abundant number, since it is smaller than the sum of its proper divisors (9949356).

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

4940064 is a wasteful number, since it uses less digits than its factorization.

4940064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4940064 is about 2222.6254745233. The cubic root of 4940064 is about 170.3115854228.

The spelling of 4940064 in words is "four million, nine hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1009 1224 1632 2018 2448 3027 4036 4896 6054 8072 9081 12108 16144 17153 18162 24216 32288 34306 36324 48432 51459 68612 72648 96864 102918 137224 145296 154377 205836 274448 290592 308754 411672 548896 617508 823344 1235016 1646688 2470032 4940064