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1475116896 = 253113145061
BaseRepresentation
bin101011111101100…
…0111111101100000
310210210200200222010
41113323013331200
511010112220041
6402212512520
751361200231
oct12773077540
93723620863
101475116896
11697735180
1235201b740
131a67bc346
14ddca7088
1589781a16
hex57ec7f60

1475116896 has 96 divisors (see below), whose sum is σ = 4360559616. Its totient is φ = 432576000.

The previous prime is 1475116861. The next prime is 1475116921. The reversal of 1475116896 is 6986115741.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 10206 + ... + 55266.

It is an arithmetic number, because the mean of its divisors is an integer number (45422496).

Almost surely, 21475116896 is an apocalyptic number.

1475116896 is a gapful number since it is divisible by the number (16) 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 1475116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180279808).

1475116896 is an abundant number, since it is smaller than the sum of its proper divisors (2885442720).

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

1475116896 is a wasteful number, since it uses less digits than its factorization.

1475116896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45116 (or 45108 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 1475116896 is about 38407.2505654857. The cubic root of 1475116896 is about 1138.3491278608.

The spelling of 1475116896 in words is "one billion, four hundred seventy-five million, one hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 32736 45061 90122 135183 180244 270366 360488 495671 540732 720976 991342 1081464 1396891 1441952 1487013 1982684 2162928 2793782 2974026 3965368 4190673 4325856 5587564 5948052 7930736 8381346 11175128 11896104 15365801 15861472 16762692 22350256 23792208 30731602 33525384 44700512 46097403 47584416 61463204 67050768 92194806 122926408 134101536 184389612 245852816 368779224 491705632 737558448 1475116896