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1071491648 = 2689313601
BaseRepresentation
bin111111110111011…
…010101001000000
32202200012102012212
4333313122221000
54143300213043
6254153441252
735360346233
oct7767325100
92680172185
101071491648
114aa913597
1225aa10228
13140cab936
14a243b41a
1564104018
hex3fddaa40

1071491648 has 56 divisors (see below), whose sum is σ = 2160590040. Its totient is φ = 527155200.

The previous prime is 1071491627. The next prime is 1071491683. The reversal of 1071491648 is 8461941701.

It can be written as a sum of positive squares in 4 ways, for example, as 4032064 + 1067459584 = 2008^2 + 32672^2 .

It is a super-2 number, since 2×10714916482 = 2296188703467511808, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1782548 + ... + 1783148.

It is an arithmetic number, because the mean of its divisors is an integer number (38581965).

Almost surely, 21071491648 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 1071491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080295020).

1071491648 is an abundant number, since it is smaller than the sum of its proper divisors (1089098392).

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

1071491648 is an equidigital number, since it uses as much as digits as its factorization.

1071491648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 1071491648 is about 32733.6470317623. The cubic root of 1071491648 is about 1023.2841880527.

The spelling of 1071491648 in words is "one billion, seventy-one million, four hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 89 178 313 356 601 626 712 1202 1252 1424 2404 2504 2848 4808 5008 5696 9616 10016 19232 20032 27857 38464 53489 55714 106978 111428 188113 213956 222856 376226 427912 445712 752452 855824 891424 1504904 1711648 1782848 3009808 3423296 6019616 12039232 16742057 33484114 66968228 133936456 267872912 535745824 1071491648