Search a number
-
+
24989712 = 24311194753
BaseRepresentation
bin101111101010…
…1000000010000
31202000121102220
41133111000100
522344132322
62251341040
7422260206
oct137250020
952017386
1024989712
1113119160
128451780
13523c617
143467076
1522d955c
hex17d5010

24989712 has 160 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 6888960.

The previous prime is 24989683. The next prime is 24989717. The reversal of 24989712 is 21798942.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (24989717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471478 + ... + 471530.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 224989712 is an apocalyptic number.

24989712 is a gapful number since it is divisible by the number (22) 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 24989712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

24989712 is an abundant number, since it is smaller than the sum of its proper divisors (52148208).

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

24989712 is a wasteful number, since it uses less digits than its factorization.

24989712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 24989712 is about 4998.9710941353. The cubic root of 24989712 is about 292.3616585921.

The spelling of 24989712 in words is "twenty-four million, nine hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 47 48 53 57 66 76 88 94 106 114 132 141 152 159 176 188 209 212 228 264 282 304 318 376 418 424 456 517 528 564 583 627 636 752 836 848 893 912 1007 1034 1128 1166 1254 1272 1551 1672 1749 1786 2014 2068 2256 2332 2491 2508 2544 2679 3021 3102 3344 3498 3572 4028 4136 4664 4982 5016 5358 6042 6204 6996 7144 7473 8056 8272 9328 9823 9964 10032 10716 11077 12084 12408 13992 14288 14946 16112 19646 19928 21432 22154 24168 24816 27401 27984 29469 29892 33231 39292 39856 42864 44308 47329 48336 54802 58938 59784 66462 78584 82203 88616 94658 109604 117876 119568 132924 141987 157168 164406 177232 189316 219208 235752 265848 283974 328812 378632 438416 471504 520619 531696 567948 657624 757264 1041238 1135896 1315248 1561857 2082476 2271792 3123714 4164952 6247428 8329904 12494856 24989712