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1147935056 = 244153137241
BaseRepresentation
bin100010001101100…
…0001100101010000
32222000001010212012
41010123001211100
54322332410211
6305524122052
740306200302
oct10433014520
92860033765
101147935056
11539a85664
12280536328
13153a95218
14ac659972
156aba3d8b
hex446c1950

1147935056 has 80 divisors (see below), whose sum is σ = 2348005968. Its totient is φ = 543129600.

The previous prime is 1147935049. The next prime is 1147935067. The reversal of 1147935056 is 6505397411.

It can be written as a sum of positive squares in 8 ways, for example, as 80656 + 1147854400 = 284^2 + 33880^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 4763096 + ... + 4763336.

Almost surely, 21147935056 is an apocalyptic number.

1147935056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1147935056 is an abundant number, since it is smaller than the sum of its proper divisors (1200070912).

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

1147935056 is a wasteful number, since it uses less digits than its factorization.

1147935056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 1147935056 is about 33881.1902978629. The cubic root of 1147935056 is about 1047.0620991335.

The spelling of 1147935056 in words is "one billion, one hundred forty-seven million, nine hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 41 53 82 106 137 164 212 241 274 328 424 482 548 656 848 964 1096 1928 2173 2192 3856 4346 5617 7261 8692 9881 11234 12773 14522 17384 19762 22468 25546 29044 33017 34768 39524 44936 51092 58088 66034 79048 89872 102184 116176 132068 158096 204368 264136 297701 523693 528272 595402 1047386 1190804 1353697 1749901 2094772 2381608 2707394 3499802 4189544 4763216 5414788 6999604 8379088 10829576 13999208 21659152 27998416 71745941 143491882 286983764 573967528 1147935056