Search a number
-
+
4564456140 = 22351712233659
BaseRepresentation
bin1000100000001000…
…00001001011001100
3102210002211101201010
410100010001023030
533322000044030
62032532045220
7221053144206
oct42004011314
912702741633
104564456140
111a32575502
12a74763810
13579853b2a
143142c7776
151baac16b0
hex1101012cc

4564456140 has 96 divisors (see below), whose sum is σ = 13547036160. Its totient is φ = 1144339456.

The previous prime is 4564456129. The next prime is 4564456147. The reversal of 4564456140 is 416544654.

It is not an unprimeable number, because it can be changed into a prime (4564456147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245631 + ... + 1249289.

It is an arithmetic number, because the mean of its divisors is an integer number (141114960).

Almost surely, 24564456140 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 4564456140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773518080).

4564456140 is an abundant number, since it is smaller than the sum of its proper divisors (8982580020).

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

4564456140 is a wasteful number, since it uses less digits than its factorization.

4564456140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 4564456140 is about 67560.7588767326. The cubic root of 4564456140 is about 1658.8088590485.

The spelling of 4564456140 in words is "four billion, five hundred sixty-four million, four hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1223 2446 3659 3669 4892 6115 7318 7338 10977 12230 14636 14676 18295 18345 20791 21954 24460 36590 36690 41582 43908 54885 62203 62373 73180 73380 83164 103955 109770 124406 124746 186609 207910 219540 248812 249492 311015 311865 373218 415820 622030 623730 746436 933045 1244060 1247460 1866090 3732180 4474957 8949914 13424871 17899828 22374785 26849742 44749570 53699484 67124355 76074269 89499140 134248710 152148538 228222807 268497420 304297076 380371345 456445614 760742690 912891228 1141114035 1521485380 2282228070 4564456140