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1152131552 = 251113733449
BaseRepresentation
bin100010010101100…
…0010000111100000
32222021221100100222
41010223002013200
54324421202202
6310154102212
740356646055
oct10453020740
92867840328
101152131552
11541391540
12281a1a968
13154904360
14ad02d02c
156b2324a2
hex44ac21e0

1152131552 has 96 divisors (see below), whose sum is σ = 2702095200. Its totient is φ = 476651520.

The previous prime is 1152131521. The next prime is 1152131569. The reversal of 1152131552 is 2551312511.

It is a super-2 number, since 2×11521315522 = 2654814226227857408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332324 + ... + 335772.

It is an arithmetic number, because the mean of its divisors is an integer number (28146825).

Almost surely, 21152131552 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 1152131552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351047600).

1152131552 is an abundant number, since it is smaller than the sum of its proper divisors (1549963648).

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

1152131552 is a wasteful number, since it uses less digits than its factorization.

1152131552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3548 counting only the distinct ones).

The product of its digits is 1500, while the sum is 26.

The square root of 1152131552 is about 33943.0633856168. The cubic root of 1152131552 is about 1048.3364593791.

The spelling of 1152131552 in words is "one billion, one hundred fifty-two million, one hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 73 88 104 143 146 176 208 286 292 352 416 572 584 803 949 1144 1168 1606 1898 2288 2336 3212 3449 3796 4576 6424 6898 7592 10439 12848 13796 15184 20878 25696 27592 30368 37939 41756 44837 55184 75878 83512 89674 110368 151756 167024 179348 251777 303512 334048 358696 493207 503554 607024 717392 986414 1007108 1214048 1434784 1972828 2014216 2769547 3273101 3945656 4028432 5539094 6546202 7891312 8056864 11078188 13092404 15782624 22156376 26184808 36004111 44312752 52369616 72008222 88625504 104739232 144016444 288032888 576065776 1152131552