Search a number
-
+
19244808 = 2332112472
BaseRepresentation
bin100100101101…
…0011100001000
31100012201220200
41021122130020
514411313213
61524252200
7322402212
oct111323410
940181820
1019244808
11a954a00
126541060
133caa77b
1427ad5b2
151a52273
hex125a708

19244808 has 108 divisors (see below), whose sum is σ = 58535295. Its totient is φ = 5707680.

The previous prime is 19244807. The next prime is 19244809. The reversal of 19244808 is 80844291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (19244807) and next prime (19244809).

It can be written as a sum of positive squares in only one way, i.e., 9622404 + 9622404 = 3102^2 + 3102^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19244803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 409441 + ... + 409487.

Almost surely, 219244808 is an apocalyptic number.

19244808 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 19244808

19244808 is an abundant number, since it is smaller than the sum of its proper divisors (39290487).

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

19244808 is a wasteful number, since it uses less digits than its factorization.

19244808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 19244808 is about 4386.8904704813. The cubic root of 19244808 is about 267.9813234182.

Multiplying 19244808 by its product of nonzero digits (18432), we get a square (354720301056 = 5955842).

The spelling of 19244808 in words is "nineteen million, two hundred forty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 121 132 141 188 198 242 264 282 363 376 396 423 484 517 564 726 792 846 968 1034 1089 1128 1452 1551 1692 2068 2178 2209 2904 3102 3384 4136 4356 4418 4653 5687 6204 6627 8712 8836 9306 11374 12408 13254 17061 17672 18612 19881 22748 24299 26508 34122 37224 39762 45496 48598 51183 53016 68244 72897 79524 97196 102366 136488 145794 159048 194392 204732 218691 267289 291588 409464 437382 534578 583176 801867 874764 1069156 1603734 1749528 2138312 2405601 3207468 4811202 6414936 9622404 19244808