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1157327325 = 335272113181
BaseRepresentation
bin100010011111011…
…0110100111011101
32222122201022122000
41010332312213131
54332233433300
6310501312513
740452056100
oct10476664735
92878638560
101157327325
11544310170
12283705739
13155a0328b
14ad9c2737
156b90bc00
hex44fb69dd

1157327325 has 144 divisors (see below), whose sum is σ = 2698845120. Its totient is φ = 480816000.

The previous prime is 1157327293. The next prime is 1157327333. The reversal of 1157327325 is 5237237511.

It is a happy number.

1157327325 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 327 + 325 = 666.

It is not a de Polignac number, because 1157327325 - 25 = 1157327293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1157327325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 362235 + ... + 365415.

It is an arithmetic number, because the mean of its divisors is an integer number (18741980).

Almost surely, 21157327325 is an apocalyptic number.

1157327325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1157327325 is an abundant number, since it is smaller than the sum of its proper divisors (1541517795).

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

1157327325 is a wasteful number, since it uses less digits than its factorization.

1157327325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3207 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 1157327325 is about 34019.5138854158. The cubic root of 1157327325 is about 1049.9099922846.

The spelling of 1157327325 in words is "one billion, one hundred fifty-seven million, three hundred twenty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 49 55 63 75 77 99 105 135 147 165 175 189 225 231 245 275 297 315 385 441 495 525 539 675 693 735 825 945 1155 1225 1323 1485 1575 1617 1925 2079 2205 2475 2695 3181 3465 3675 4725 4851 5775 6615 7425 8085 9543 10395 11025 13475 14553 15905 17325 22267 24255 28629 33075 34991 40425 47715 51975 66801 72765 79525 85887 104973 111335 121275 143145 155869 174955 200403 238575 244937 314919 334005 363825 429435 467607 524865 556675 601209 715725 734811 779345 874775 944757 1002015 1224685 1402821 1574595 1670025 1714559 2147175 2204433 2338035 2624325 3006045 3674055 3896725 4208463 4723785 5010075 5143677 6123425 6613299 7014105 7872975 8572795 11022165 11690175 15030225 15431031 18370275 21042315 23618925 25718385 33066495 35070525 42863975 46293093 55110825 77155155 105211575 128591925 165332475 231465465 385775775 1157327325