Search a number
-
+
1928994216 = 2331761179433
BaseRepresentation
bin111001011111010…
…0001110110101000
311222102202001121020
41302332201312220
512422310303331
6515225012440
765542115562
oct16276416650
94872661536
101928994216
118aa9599a6
1245a024120
13249845ac6
14144294332
15b4538c96
hex72fa1da8

1928994216 has 128 divisors (see below), whose sum is σ = 5230915200. Its totient is φ = 590561280.

The previous prime is 1928994211. The next prime is 1928994293. The reversal of 1928994216 is 6124998291.

It is a super-2 number, since 2×19289942162 = 7442037370722909312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) 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 (51).

It is not an unprimeable number, because it can be changed into a prime (1928994211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4454736 + ... + 4455168.

It is an arithmetic number, because the mean of its divisors is an integer number (40866525).

Almost surely, 21928994216 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 1928994216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615457600).

1928994216 is an abundant number, since it is smaller than the sum of its proper divisors (3301920984).

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

1928994216 is a wasteful number, since it uses less digits than its factorization.

1928994216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 1928994216 is about 43920.3166655251. The cubic root of 1928994216 is about 1244.8307519806.

The spelling of 1928994216 in words is "one billion, nine hundred twenty-eight million, nine hundred ninety-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 179 183 204 244 358 366 408 433 488 537 716 732 866 1037 1074 1299 1432 1464 1732 2074 2148 2598 3043 3111 3464 4148 4296 5196 6086 6222 7361 8296 9129 10392 10919 12172 12444 14722 18258 21838 22083 24344 24888 26413 29444 32757 36516 43676 44166 52826 58888 65514 73032 77507 79239 87352 88332 105652 131028 155014 158478 176664 185623 211304 232521 262056 310028 316956 371246 449021 465042 556869 620056 633912 742492 898042 930084 1113738 1317619 1347063 1484984 1796084 1860168 2227476 2635238 2694126 3592168 3952857 4454952 4727927 5270476 5388252 7905714 9455854 10540952 10776504 14183781 15811428 18911708 28367562 31622856 37823416 56735124 80374759 113470248 160749518 241124277 321499036 482248554 642998072 964497108 1928994216