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1926085056 = 26373146229
BaseRepresentation
bin111001011001101…
…1011100111000000
311222020021020222120
41302303123213000
512421034210211
6515042404240
765505311220
oct16263334700
94866236876
101926085056
118a9252235
12459060680
132490678cc
14143b38080
15b4161d06
hex72cdb9c0

1926085056 has 112 divisors (see below), whose sum is σ = 6012119040. Its totient is φ = 532546560.

The previous prime is 1926085039. The next prime is 1926085069. The reversal of 1926085056 is 6505806291.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1926084999 and 1926085017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18550 + ... + 64778.

Almost surely, 21926085056 is an apocalyptic number.

1926085056 is a gapful number since it is divisible by the number (16) 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 1926085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006059520).

1926085056 is an abundant number, since it is smaller than the sum of its proper divisors (4086033984).

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

1926085056 is a wasteful number, since it uses less digits than its factorization.

1926085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46282 (or 46272 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 1926085056 is about 43887.1855556950. The cubic root of 1926085056 is about 1244.2046512838.

The spelling of 1926085056 in words is "one billion, nine hundred twenty-six million, eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 46229 92458 138687 184916 277374 323603 369832 554748 647206 739664 970809 1109496 1294412 1433099 1479328 1941618 2218992 2588824 2866198 2958656 3883236 4299297 4437984 5177648 5732396 7766472 8598594 8875968 10031693 10355296 11464792 15532944 17197188 20063386 20710592 22929584 30095079 31065888 34394376 40126772 45859168 60190158 62131776 68788752 80253544 91718336 120380316 137577504 160507088 240760632 275155008 321014176 481521264 642028352 963042528 1926085056