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1372728448 = 27713117851
BaseRepresentation
bin101000111010010…
…0010110010000000
310112200000211102101
41101310202302000
510302404302243
6344114200144
746005666520
oct12164426200
93480024371
101372728448
11644962223
12323883054
1318b520670
14d0453680
15807a954d
hex51d22c80

1372728448 has 64 divisors (see below), whose sum is σ = 3365853120. Its totient is φ = 543052800.

The previous prime is 1372728439. The next prime is 1372728449. The reversal of 1372728448 is 8448272731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1372728398 and 1372728407.

It is not an unprimeable number, because it can be changed into a prime (1372728449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47278 + ... + 70573.

It is an arithmetic number, because the mean of its divisors is an integer number (52591455).

Almost surely, 21372728448 is an apocalyptic number.

It is an amenable number.

1372728448 is an abundant number, since it is smaller than the sum of its proper divisors (1993124672).

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

1372728448 is a wasteful number, since it uses less digits than its factorization.

1372728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117885 (or 117873 counting only the distinct ones).

The product of its digits is 602112, while the sum is 46.

The square root of 1372728448 is about 37050.3501737838. The cubic root of 1372728448 is about 1111.3773578970.

The spelling of 1372728448 in words is "one billion, three hundred seventy-two million, seven hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 117851 235702 471404 824957 942808 1532063 1649914 1885616 3064126 3299828 3771232 6128252 6599656 7542464 10724441 12256504 13199312 15084928 21448882 24513008 26398624 42897764 49026016 52797248 85795528 98052032 105594496 171591056 196104064 343182112 686364224 1372728448