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1144516352 = 2872292789
BaseRepresentation
bin100010000110111…
…1110111100000000
32221202121110021112
41010031332330000
54320444010402
6305322542452
740235141240
oct10415767400
92852543245
101144516352
11538060091
1227b367a28
13153169115
14ac009b20
156a72ae52
hex4437ef00

1144516352 has 72 divisors (see below), whose sum is σ = 2623269600. Its totient is φ = 488189952.

The previous prime is 1144516333. The next prime is 1144516361. The reversal of 1144516352 is 2536154411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408974 + ... + 411762.

It is an arithmetic number, because the mean of its divisors is an integer number (36434300).

Almost surely, 21144516352 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 1144516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311634800).

1144516352 is an abundant number, since it is smaller than the sum of its proper divisors (1478753248).

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

1144516352 is an equidigital number, since it uses as much as digits as its factorization.

1144516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3027 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 1144516352 is about 33830.7013229108. The cubic root of 1144516352 is about 1046.0216352840.

The spelling of 1144516352 in words is "one billion, one hundred forty-four million, five hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 229 256 448 458 896 916 1603 1792 1832 2789 3206 3664 5578 6412 7328 11156 12824 14656 19523 22312 25648 29312 39046 44624 51296 58624 78092 89248 102592 156184 178496 205184 312368 356992 410368 624736 638681 713984 1249472 1277362 2498944 2554724 4470767 4997888 5109448 8941534 10218896 17883068 20437792 35766136 40875584 71532272 81751168 143064544 163502336 286129088 572258176 1144516352