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1055792745 = 335710310847
BaseRepresentation
bin111110111011100…
…001111001101001
32201120122211101000
4332323201321221
54130240331440
6252433145213
735110042650
oct7673417151
92646584330
101055792745
114a1a70797
122556bb209
1313a973147
14a0312197
1562a52730
hex3eee1e69

1055792745 has 64 divisors (see below), whose sum is σ = 2166128640. Its totient is φ = 477918144.

The previous prime is 1055792687. The next prime is 1055792747. The reversal of 1055792745 is 5472975501.

1055792745 is a `hidden beast` number, since 1 + 0 + 5 + 579 + 2 + 74 + 5 = 666.

It is not a de Polignac number, because 1055792745 - 29 = 1055792233 is a prime.

It is a super-2 number, since 2×10557927452 = 2229396640789270050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1055792745.

It is not an unprimeable number, because it can be changed into a prime (1055792747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91912 + ... + 102758.

It is an arithmetic number, because the mean of its divisors is an integer number (33845760).

Almost surely, 21055792745 is an apocalyptic number.

1055792745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1055792745 is an abundant number, since it is smaller than the sum of its proper divisors (1110335895).

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

1055792745 is a wasteful number, since it uses less digits than its factorization.

1055792745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10971 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The square root of 1055792745 is about 32492.9645461906. The cubic root of 1055792745 is about 1018.2620490840.

The spelling of 1055792745 in words is "one billion, fifty-five million, seven hundred ninety-two thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 103 105 135 189 309 315 515 721 927 945 1545 2163 2781 3605 4635 6489 10815 10847 13905 19467 32445 32541 54235 75929 97335 97623 162705 227787 292869 379645 488115 683361 1117241 1138935 1464345 2050083 3351723 3416805 5586205 7820687 10055169 10250415 16758615 23462061 30165507 39103435 50275845 70386183 117310305 150827535 211158549 351930915 1055792745