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1152213152 = 252329371459
BaseRepresentation
bin100010010101101…
…0110000010100000
32222022002111022012
41010223112002200
54324431310102
6310155532052
740360436006
oct10453260240
92868074265
101152213152
11541437882
12281a5a028
1315493253c
14ad050a76
156b24b752
hex44ad60a0

1152213152 has 96 divisors (see below), whose sum is σ = 2516572800. Its totient is φ = 517321728.

The previous prime is 1152213133. The next prime is 1152213157. The reversal of 1152213152 is 2513122511.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1152213157) by changing a digit.

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, 788999 + ... + 790457.

It is an arithmetic number, because the mean of its divisors is an integer number (26214300).

Almost surely, 21152213152 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 1152213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258286400).

1152213152 is an abundant number, since it is smaller than the sum of its proper divisors (1364359648).

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

1152213152 is a wasteful number, since it uses less digits than its factorization.

1152213152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1550 counting only the distinct ones).

The product of its digits is 600, while the sum is 23.

The square root of 1152213152 is about 33944.2653772327. The cubic root of 1152213152 is about 1048.3612083572.

Adding to 1152213152 its reverse (2513122511), we get a palindrome (3665335663).

The spelling of 1152213152 in words is "one billion, one hundred fifty-two million, two hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 29 32 37 46 58 74 92 116 148 184 232 296 368 464 592 667 736 851 928 1073 1184 1334 1459 1702 2146 2668 2918 3404 4292 5336 5836 6808 8584 10672 11672 13616 17168 21344 23344 24679 27232 33557 34336 42311 46688 49358 53983 67114 84622 98716 107966 134228 169244 197432 215932 268456 338488 394864 431864 536912 676976 789728 863728 973153 1073824 1241609 1353952 1565507 1727456 1946306 2483218 3131014 3892612 4966436 6262028 7785224 9932872 12524056 15570448 19865744 25048112 31140896 36006661 39731488 50096224 72013322 144026644 288053288 576106576 1152213152