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1375575344 = 2411133716249
BaseRepresentation
bin101000111111101…
…1001110100110000
310112212101110121222
41101333121310300
510304121402334
6344255204212
746042124513
oct12177316460
93485343558
101375575344
11646527130
12324816668
1318bca9410
14d0994d7a
1580b6cd2e
hex51fd9d30

1375575344 has 80 divisors (see below), whose sum is σ = 3215940000. Its totient is φ = 561530880.

The previous prime is 1375575343. The next prime is 1375575353. The reversal of 1375575344 is 4435755731.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1375575295 and 1375575304.

It is not an unprimeable number, because it can be changed into a prime (1375575343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76532 + ... + 92780.

It is an arithmetic number, because the mean of its divisors is an integer number (40199250).

Almost surely, 21375575344 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 1375575344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607970000).

1375575344 is an abundant number, since it is smaller than the sum of its proper divisors (1840364656).

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

1375575344 is a wasteful number, since it uses less digits than its factorization.

1375575344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16318 (or 16312 counting only the distinct ones).

The product of its digits is 882000, while the sum is 44.

The square root of 1375575344 is about 37088.7495610192. The cubic root of 1375575344 is about 1112.1451210633.

The spelling of 1375575344 in words is "one billion, three hundred seventy-five million, five hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 407 481 572 592 814 962 1144 1628 1924 2288 3256 3848 5291 6512 7696 10582 16249 21164 32498 42328 64996 84656 129992 178739 211237 259984 357478 422474 601213 714956 844948 1202426 1429912 1689896 2323607 2404852 2859824 3379792 4647214 4809704 6613343 7815769 9294428 9619408 13226686 15631538 18588856 26453372 31263076 37177712 52906744 62526152 85973459 105813488 125052304 171946918 343893836 687787672 1375575344