Search a number
-
+
1982797056 = 283495621
BaseRepresentation
bin111011000101111…
…0001010100000000
312010011222112020000
41312023301110000
513030044001211
6524430120000
7100064332302
oct16613612400
95104875200
101982797056
11928267859
12474050000
13257a330c6
1414b49b972
15b9115656
hex762f1500

1982797056 has 90 divisors (see below), whose sum is σ = 5912403882. Its totient is φ = 660925440.

The previous prime is 1982797051. The next prime is 1982797067. The reversal of 1982797056 is 6507972891.

It can be written as a sum of positive squares in only one way, i.e., 1731891456 + 250905600 = 41616^2 + 15840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1982796993 and 1982797011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982797051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27075 + ... + 68546.

Almost surely, 21982797056 is an apocalyptic number.

1982797056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1982797056 is an abundant number, since it is smaller than the sum of its proper divisors (3929606826).

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

1982797056 is an frugal number, since it uses more digits than its factorization.

1982797056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95649 (or 95626 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1982797056 is about 44528.6094101309. The cubic root of 1982797056 is about 1256.2982509424.

The spelling of 1982797056 in words is "one billion, nine hundred eighty-two million, seven hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 95621 191242 286863 382484 573726 764968 860589 1147452 1529936 1721178 2294904 2581767 3059872 3442356 4589808 5163534 6119744 6884712 7745301 9179616 10327068 12239488 13769424 15490602 18359232 20654136 24478976 27538848 30981204 36718464 41308272 55077696 61962408 73436928 82616544 110155392 123924816 165233088 220310784 247849632 330466176 495699264 660932352 991398528 1982797056