Search a number
-
+
19996488 = 2332172312
BaseRepresentation
bin100110001000…
…1111101001000
31101121221000200
41030101331020
520104341423
61552332200
7331652541
oct114217510
941557020
1019996488
1110318726
126844060
1341b1955
1429274c8
151b4ed43
hex1311f48

19996488 has 108 divisors (see below), whose sum is σ = 59445945. Its totient is φ = 6071040.

The previous prime is 19996469. The next prime is 19996489. The reversal of 19996488 is 88469991.

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 can be written as a sum of positive squares in 2 ways, for example, as 18301284 + 1695204 = 4278^2 + 1302^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3162.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1119744) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (19996489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 645033 + ... + 645063.

Almost surely, 219996488 is an apocalyptic number.

19996488 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 19996488

19996488 is an abundant number, since it is smaller than the sum of its proper divisors (39449457).

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

19996488 is a wasteful number, since it uses less digits than its factorization.

19996488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 19996488 is about 4471.7432842237. The cubic root of 19996488 is about 271.4258723383.

The spelling of 19996488 in words is "nineteen million, nine hundred ninety-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 289 306 372 408 527 558 578 612 744 867 961 1054 1116 1156 1224 1581 1734 1922 2108 2232 2312 2601 2883 3162 3468 3844 4216 4743 5202 5766 6324 6936 7688 8649 8959 9486 10404 11532 12648 16337 17298 17918 18972 20808 23064 26877 32674 34596 35836 37944 49011 53754 65348 69192 71672 80631 98022 107508 130696 147033 161262 196044 215016 277729 294066 322524 392088 555458 588132 645048 833187 1110916 1176264 1666374 2221832 2499561 3332748 4999122 6665496 9998244 19996488