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1327423552 = 26713317719
BaseRepresentation
bin100111100011110…
…1110000001000000
310102111210002210021
41033013232001000
510204310023202
6335415143224
744615625340
oct11707560100
93374702707
101327423552
11621328a64
12310674b14
1318201a330
14c841cd20
157b80aa37
hex4f1ee040

1327423552 has 112 divisors (see below), whose sum is σ = 3256727040. Its totient is φ = 522749952.

The previous prime is 1327423523. The next prime is 1327423553. The reversal of 1327423552 is 2553247231.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1327423553) 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, 1845849 + ... + 1846567.

It is an arithmetic number, because the mean of its divisors is an integer number (29077920).

Almost surely, 21327423552 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 1327423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628363520).

1327423552 is an abundant number, since it is smaller than the sum of its proper divisors (1929303488).

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

1327423552 is a wasteful number, since it uses less digits than its factorization.

1327423552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1058 counting only the distinct ones).

The product of its digits is 50400, while the sum is 34.

The square root of 1327423552 is about 36433.8242845848. The cubic root of 1327423552 is about 1099.0138688315.

The spelling of 1327423552 in words is "one billion, three hundred twenty-seven million, four hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 317 364 416 448 634 719 728 832 1268 1438 1456 2219 2536 2876 2912 4121 4438 5033 5072 5752 5824 8242 8876 9347 10066 10144 11504 16484 17752 18694 20132 20288 23008 28847 32968 35504 37388 40264 46016 57694 65429 65936 71008 74776 80528 115388 130858 131872 142016 149552 161056 227923 230776 261716 263744 299104 322112 455846 461552 523432 598208 911692 923104 1046864 1595461 1823384 1846208 2093728 2962999 3190922 3646768 4187456 5925998 6381844 7293536 11851996 12763688 14587072 20740993 23703992 25527376 41481986 47407984 51054752 82963972 94815968 102109504 165927944 189631936 331855888 663711776 1327423552