Search a number
-
+
19797468 = 22319312801
BaseRepresentation
bin100101110000…
…1010111011100
31101020211000120
41023201113130
520032004333
61544154540
7330163365
oct113412734
941224016
1019797468
11101a2149
126768a50
1341421a2
1428b4b6c
151b10db3
hex12e15dc

19797468 has 48 divisors (see below), whose sum is σ = 50211840. Its totient is φ = 6048000.

The previous prime is 19797443. The next prime is 19797473. The reversal of 19797468 is 86479791.

It is a super-3 number, since 3×197974683 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 19797468.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5668 + ... + 8468.

It is an arithmetic number, because the mean of its divisors is an integer number (1046080).

Almost surely, 219797468 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 19797468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25105920).

19797468 is an abundant number, since it is smaller than the sum of its proper divisors (30414372).

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

19797468 is a wasteful number, since it uses less digits than its factorization.

19797468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2856 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 19797468 is about 4449.4345708191. The cubic root of 19797468 is about 270.5223905579.

The spelling of 19797468 in words is "nineteen million, seven hundred ninety-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 2801 3534 5602 7068 8403 11204 16806 33612 53219 86831 106438 159657 173662 212876 260493 319314 347324 520986 638628 1041972 1649789 3299578 4949367 6599156 9898734 19797468