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1142757728 = 25737173797
BaseRepresentation
bin100010000011101…
…0001100101100000
32221122022002220022
41010013101211200
54320021221403
6305221133012
740214165120
oct10407214540
92848262808
101142757728
11537069882
1227a85a168
131529a1808
14abaacc80
156a4ced38
hex441d1960

1142757728 has 96 divisors (see below), whose sum is σ = 2659293504. Its totient is φ = 473167872.

The previous prime is 1142757719. The next prime is 1142757757. The reversal of 1142757728 is 8277572411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1433426 + ... + 1434222.

It is an arithmetic number, because the mean of its divisors is an integer number (27700974).

Almost surely, 21142757728 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 1142757728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329646752).

1142757728 is an abundant number, since it is smaller than the sum of its proper divisors (1516535776).

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

1142757728 is a wasteful number, since it uses less digits than its factorization.

1142757728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

The product of its digits is 219520, while the sum is 44.

The square root of 1142757728 is about 33804.6997915970. The cubic root of 1142757728 is about 1045.4856004908.

The spelling of 1142757728 in words is "one billion, one hundred forty-two million, seven hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 173 224 259 296 346 518 592 692 797 1036 1184 1211 1384 1594 2072 2422 2768 3188 4144 4844 5536 5579 6376 6401 8288 9688 11158 12752 12802 19376 22316 25504 25604 29489 38752 44632 44807 51208 58978 89264 89614 102416 117956 137881 178528 179228 204832 206423 235912 275762 358456 412846 471824 551524 716912 825692 943648 965167 1103048 1433824 1651384 1930334 2206096 3302768 3860668 4412192 5101597 6605536 7721336 10203194 15442672 20406388 30885344 35711179 40812776 71422358 81625552 142844716 163251104 285689432 571378864 1142757728