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1155387552 = 253111935669
BaseRepresentation
bin100010011011101…
…1101000010100000
32222112001202202120
41010313131002200
54331234400202
6310351544240
740426426554
oct10467350240
92875052676
101155387552
11543205850
12282b2b080
131554a4397
14ad639864
156b6770bc
hex44ddd0a0

1155387552 has 96 divisors (see below), whose sum is σ = 3326339520. Its totient is φ = 348241920.

The previous prime is 1155387539. The next prime is 1155387559. The reversal of 1155387552 is 2557835511.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1155387559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200974 + ... + 206642.

It is an arithmetic number, because the mean of its divisors is an integer number (34649370).

Almost surely, 21155387552 is an apocalyptic number.

1155387552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155387552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663169760).

1155387552 is an abundant number, since it is smaller than the sum of its proper divisors (2170951968).

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

1155387552 is a wasteful number, since it uses less digits than its factorization.

1155387552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5878 counting only the distinct ones).

The product of its digits is 210000, while the sum is 42.

The square root of 1155387552 is about 33990.9922185275. The cubic root of 1155387552 is about 1049.3230866041.

The spelling of 1155387552 in words is "one billion, one hundred fifty-five million, three hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 193 264 352 386 528 579 772 1056 1158 1544 2123 2316 3088 4246 4632 5669 6176 6369 8492 9264 11338 12738 16984 17007 18528 22676 25476 33968 34014 45352 50952 62359 67936 68028 90704 101904 124718 136056 181408 187077 203808 249436 272112 374154 498872 544224 748308 997744 1094117 1496616 1995488 2188234 2993232 3282351 4376468 5986464 6564702 8752936 12035287 13129404 17505872 24070574 26258808 35011744 36105861 48141148 52517616 72211722 96282296 105035232 144423444 192564592 288846888 385129184 577693776 1155387552