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19490816 = 21131307
BaseRepresentation
bin100101001011…
…0100000000000
31100200020101002
41022112200000
514442201231
61533431132
7324445352
oct112264000
940606332
1019490816
1110002814
12663b4a8
134065737
1428350d2
151aa00cb
hex1296800

19490816 has 48 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 9400320.

The previous prime is 19490797. The next prime is 19490819. The reversal of 19490816 is 61809491.

It is a happy number.

It is a super-4 number, since 4×194908164 (a number of 30 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19490816.

It is not an unprimeable number, because it can be changed into a prime (19490819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63335 + ... + 63641.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 219490816 is an apocalyptic number.

19490816 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 19490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

19490816 is an abundant number, since it is smaller than the sum of its proper divisors (20869504).

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

19490816 is an equidigital number, since it uses as much as digits as its factorization.

19490816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 19490816 is about 4414.8404274673. The cubic root of 19490816 is about 269.1183680503.

The spelling of 19490816 in words is "nineteen million, four hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 307 496 512 614 992 1024 1228 1984 2048 2456 3968 4912 7936 9517 9824 15872 19034 19648 31744 38068 39296 63488 76136 78592 152272 157184 304544 314368 609088 628736 1218176 2436352 4872704 9745408 19490816