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19396416 = 2631319409
BaseRepresentation
bin100100111111…
…1011101000000
31100111102212210
41021333131000
514431141131
61531422120
7323603214
oct111773500
940442783
1019396416
11aa488a6
1265b4940
134031790
14280c944
151a82146
hex127f740

19396416 has 112 divisors (see below), whose sum is σ = 58318400. Its totient is φ = 5640192.

The previous prime is 19396387. The next prime is 19396417. The reversal of 19396416 is 61469391.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19396417) 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 15 ways as a sum of consecutive naturals, for example, 47220 + ... + 47628.

It is an arithmetic number, because the mean of its divisors is an integer number (520700).

Almost surely, 219396416 is an apocalyptic number.

19396416 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 19396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29159200).

19396416 is an abundant number, since it is smaller than the sum of its proper divisors (38921984).

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

19396416 is a wasteful number, since it uses less digits than its factorization.

19396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 19396416 is about 4404.1362376748. The cubic root of 19396416 is about 268.6831904598.

The spelling of 19396416 in words is "nineteen million, three hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 409 416 456 494 608 624 741 818 832 912 988 1216 1227 1248 1482 1636 1824 1976 2454 2496 2964 3272 3648 3952 4908 5317 5928 6544 7771 7904 9816 10634 11856 13088 15542 15808 15951 19632 21268 23313 23712 26176 31084 31902 39264 42536 46626 47424 62168 63804 78528 85072 93252 101023 124336 127608 170144 186504 202046 248672 255216 303069 340288 373008 404092 497344 510432 606138 746016 808184 1020864 1212276 1492032 1616368 2424552 3232736 4849104 6465472 9698208 19396416