Search a number
-
+
19649088 = 263383137
BaseRepresentation
bin100101011110…
…1001001000000
31100222021111000
41022331021000
520012232323
61541052000
7326004654
oct112751100
940867430
1019649088
1110100718
1266b7000
1340bc7a4
142876a64
151ad1e43
hex12bd240

19649088 has 112 divisors (see below), whose sum is σ = 58887360. Its totient is φ = 6423552.

The previous prime is 19649087. The next prime is 19649089. The reversal of 19649088 is 88094691.

It is an interprime number because it is at equal distance from previous prime (19649087) and next prime (19649089).

It is not an unprimeable number, because it can be changed into a prime (19649081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143356 + ... + 143492.

It is an arithmetic number, because the mean of its divisors is an integer number (525780).

Almost surely, 219649088 is an apocalyptic number.

19649088 is a gapful number since it is divisible by the number (18) 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 19649088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443680).

19649088 is an abundant number, since it is smaller than the sum of its proper divisors (39238272).

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

19649088 is a wasteful number, since it uses less digits than its factorization.

19649088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19649088 is about 4432.7291818923. The cubic root of 19649088 is about 269.8448491339.

It can be divided in two parts, 196 and 49088, that added together give a square (49284 = 2222).

The spelling of 19649088 in words is "nineteen million, six hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 137 144 166 192 216 249 274 288 332 411 432 498 548 576 664 747 822 864 996 1096 1233 1328 1494 1644 1728 1992 2192 2241 2466 2656 2988 3288 3699 3984 4384 4482 4932 5312 5976 6576 7398 7968 8768 8964 9864 11371 11952 13152 14796 15936 17928 19728 22742 23904 26304 29592 34113 35856 39456 45484 47808 59184 68226 71712 78912 90968 102339 118368 136452 143424 181936 204678 236736 272904 307017 363872 409356 545808 614034 727744 818712 1091616 1228068 1637424 2183232 2456136 3274848 4912272 6549696 9824544 19649088