Search a number
-
+
1156564464 = 24311343421
BaseRepresentation
bin100010011101111…
…1100010111110000
32222121021120011220
41010323330113300
54332040030324
6310433105040
740442431026
oct10473742760
92877246156
101156564464
1154393a000
122833b8180
131557c6c93
14ad864716
156b80ab79
hex44efc5f0

1156564464 has 160 divisors (see below), whose sum is σ = 3370760448. Its totient is φ = 341510400.

The previous prime is 1156564439. The next prime is 1156564469. The reversal of 1156564464 is 4644656511.

It is a happy number.

Its product of digits (345600) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156564469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2746974 + ... + 2747394.

Almost surely, 21156564464 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 1156564464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685380224).

1156564464 is an abundant number, since it is smaller than the sum of its proper divisors (2214195984).

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

1156564464 is a wasteful number, since it uses less digits than its factorization.

1156564464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 1156564464 is about 34008.2999281058. The cubic root of 1156564464 is about 1049.6792562273.

The spelling of 1156564464 in words is "one billion, one hundred fifty-six million, five hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 121 129 132 172 176 242 258 264 344 363 421 473 484 516 528 688 726 842 946 968 1032 1263 1331 1419 1452 1684 1892 1936 2064 2526 2662 2838 2904 3368 3784 3993 4631 5052 5203 5324 5676 5808 6736 7568 7986 9262 10104 10406 10648 11352 13893 15609 15972 18103 18524 20208 20812 21296 22704 27786 31218 31944 36206 37048 41624 50941 54309 55572 57233 62436 63888 72412 74096 83248 101882 108618 111144 114466 124872 144824 152823 171699 199133 203764 217236 222288 228932 249744 289648 305646 343398 398266 407528 434472 457864 560351 597399 611292 686796 796532 815056 868944 915728 1120702 1194798 1222584 1373592 1593064 1681053 2190463 2241404 2389596 2445168 2747184 3186128 3362106 4380926 4482808 4779192 6571389 6724212 8761852 8965616 9558384 13142778 13448424 17523704 24095093 26285556 26896848 35047408 48190186 52571112 72285279 96380372 105142224 144570558 192760744 289141116 385521488 578282232 1156564464