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1143252352 = 27112343821
BaseRepresentation
bin100010000100100…
…1010010110000000
32221200020020101201
41010021022112000
54320133033402
6305235510544
740221325144
oct10411122600
92850206351
101143252352
11537377460
1227aa58454
13152b159a8
14abb9b224
156a57b687
hex4424a580

1143252352 has 128 divisors (see below), whose sum is σ = 2656177920. Its totient is φ = 484915200.

The previous prime is 1143252281. The next prime is 1143252359. The reversal of 1143252352 is 2532523411.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (7200) is a multiple of the sum of its prime divisors (900).

It is a self number, because there is not a number n which added to its sum of digits gives 1143252352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143252359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392102 + ... + 1392922.

It is an arithmetic number, because the mean of its divisors is an integer number (20751390).

Almost surely, 21143252352 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 1143252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328088960).

1143252352 is an abundant number, since it is smaller than the sum of its proper divisors (1512925568).

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

1143252352 is a wasteful number, since it uses less digits than its factorization.

1143252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 1143252352 is about 33812.0149059473. The cubic root of 1143252352 is about 1045.6364191831.

Adding to 1143252352 its reverse (2532523411), we get a palindrome (3675775763).

The spelling of 1143252352 in words is "one billion, one hundred forty-three million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 43 44 46 64 86 88 92 128 172 176 184 253 344 352 368 473 506 688 704 736 821 946 989 1012 1376 1408 1472 1642 1892 1978 2024 2752 2944 3284 3784 3956 4048 5504 6568 7568 7912 8096 9031 10879 13136 15136 15824 16192 18062 18883 21758 26272 30272 31648 32384 35303 36124 37766 43516 52544 60544 63296 70606 72248 75532 87032 105088 126592 141212 144496 151064 174064 207713 282424 288992 302128 348128 388333 415426 564848 577984 604256 696256 776666 811969 830852 1129696 1155968 1208512 1392512 1553332 1623938 1661704 2259392 2417024 3106664 3247876 3323408 4518784 6213328 6495752 6646816 8931659 12426656 12991504 13293632 17863318 24853312 25983008 26587264 35726636 49706624 51966016 71453272 103932032 142906544 285813088 571626176 1143252352