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1047385872 = 2432131314271
BaseRepresentation
bin111110011011011…
…101011100010000
32200222211201022100
4332123131130100
54121112321442
6251533040400
734645430061
oct7633353420
92628751270
101047385872
11498249565
12252926100
13138cbb770
149d164568
1561e4184c
hex3e6dd710

1047385872 has 120 divisors (see below), whose sum is σ = 3181546368. Its totient is φ = 319737600.

The previous prime is 1047385853. The next prime is 1047385879. The reversal of 1047385872 is 2785837401.

It is not an unprimeable number, because it can be changed into a prime (1047385879) 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 23 ways as a sum of consecutive naturals, for example, 243097 + ... + 247367.

Almost surely, 21047385872 is an apocalyptic number.

1047385872 is a gapful number since it is divisible by the number (12) 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 1047385872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590773184).

1047385872 is an abundant number, since it is smaller than the sum of its proper divisors (2134160496).

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

1047385872 is a wasteful number, since it uses less digits than its factorization.

1047385872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1047385872 is about 32363.3414838456. The cubic root of 1047385872 is about 1015.5521669043.

The spelling of 1047385872 in words is "one billion, forty-seven million, three hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 234 262 312 393 468 524 624 786 936 1048 1179 1572 1703 1872 2096 2358 3144 3406 4271 4716 5109 6288 6812 8542 9432 10218 12813 13624 15327 17084 18864 20436 25626 27248 30654 34168 38439 40872 51252 55523 61308 68336 76878 81744 102504 111046 122616 153756 166569 205008 222092 245232 307512 333138 444184 499707 559501 615024 666276 888368 999414 1119002 1332552 1678503 1998828 2238004 2665104 3357006 3997656 4476008 5035509 6714012 7273513 7995312 8952016 10071018 13428024 14547026 20142036 21820539 26856048 29094052 40284072 43641078 58188104 65461617 80568144 87282156 116376208 130923234 174564312 261846468 349128624 523692936 1047385872