[go: up one dir, main page]

Search a number
-
+
24992064 = 26351607
BaseRepresentation
bin101111101010…
…1100101000000
31202000201200000
41133111211000
522344221224
62251400000
7422300106
oct137254500
952021600
1024992064
111311a9a9
128453000
135240706
143467c76
1522da0c9
hex17d5940

24992064 has 84 divisors (see below), whose sum is σ = 74334624. Its totient is φ = 8325504.

The previous prime is 24992063. The next prime is 24992081. The reversal of 24992064 is 46029942.

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 (24992063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14749 + ... + 16355.

It is an arithmetic number, because the mean of its divisors is an integer number (884936).

Almost surely, 224992064 is an apocalyptic number.

24992064 is a gapful number since it is divisible by the number (24) 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 24992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37167312).

24992064 is an abundant number, since it is smaller than the sum of its proper divisors (49342560).

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

24992064 is an equidigital number, since it uses as much as digits as its factorization.

24992064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 24992064 is about 4999.2063370099. The cubic root of 24992064 is about 292.3708305405.

The spelling of 24992064 in words is "twenty-four million, nine hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1607 1728 1944 2592 3214 3888 4821 5184 6428 7776 9642 12856 14463 15552 19284 25712 28926 38568 43389 51424 57852 77136 86778 102848 115704 130167 154272 173556 231408 260334 308544 347112 390501 462816 520668 694224 781002 925632 1041336 1388448 1562004 2082672 2776896 3124008 4165344 6248016 8330688 12496032 24992064