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20491488 = 253337641
BaseRepresentation
bin100111000101…
…0110011100000
31102120002001000
41032022303200
520221211423
62011112000
7336113643
oct116126340
942502030
1020491488
1110626616
126a42600
134326054
142a15a5a
151beb843
hex138ace0

20491488 has 96 divisors (see below), whose sum is σ = 61477920. Its totient is φ = 6635520.

The previous prime is 20491469. The next prime is 20491489. The reversal of 20491488 is 88419402.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20491489) 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 15 ways as a sum of consecutive naturals, for example, 31648 + ... + 32288.

It is an arithmetic number, because the mean of its divisors is an integer number (640395).

Almost surely, 220491488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20491488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30738960).

20491488 is an abundant number, since it is smaller than the sum of its proper divisors (40986432).

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

20491488 is a wasteful number, since it uses less digits than its factorization.

20491488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 683 counting only the distinct ones).

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

The square root of 20491488 is about 4526.7524783226. The cubic root of 20491488 is about 273.6472986864.

The spelling of 20491488 in words is "twenty million, four hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 641 666 864 888 999 1184 1282 1332 1776 1923 1998 2564 2664 3552 3846 3996 5128 5328 5769 7692 7992 10256 10656 11538 15384 15984 17307 20512 23076 23717 30768 31968 34614 46152 47434 61536 69228 71151 92304 94868 138456 142302 184608 189736 213453 276912 284604 379472 426906 553824 569208 640359 758944 853812 1138416 1280718 1707624 2276832 2561436 3415248 5122872 6830496 10245744 20491488