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24920064 = 21432132
BaseRepresentation
bin101111100010…
…0000000000000
31201220001220100
41133010000000
522334420224
62250042400
7421550151
oct137040000
951801810
1024920064
11130808a4
128419400
135216a00
143449928
1522c3ac9
hex17c4000

24920064 has 135 divisors (see below), whose sum is σ = 77952693. Its totient is φ = 7667712.

The previous prime is 24920057. The next prime is 24920081. The reversal of 24920064 is 46002942.

The square root of 24920064 is 4992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 21233664 = 1920^2 + 4608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1916922 + ... + 1916934.

Almost surely, 224920064 is an apocalyptic number.

24920064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

24920064 is the 4992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24920064

24920064 is an abundant number, since it is smaller than the sum of its proper divisors (53032629).

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

24920064 is an equidigital number, since it uses as much as digits as its factorization.

24920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 24920064 is about 292.0897953646.

The spelling of 24920064 in words is "twenty-four million, nine hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 256 288 312 338 384 416 468 507 512 576 624 676 768 832 936 1014 1024 1152 1248 1352 1521 1536 1664 1872 2028 2048 2304 2496 2704 3042 3072 3328 3744 4056 4096 4608 4992 5408 6084 6144 6656 7488 8112 8192 9216 9984 10816 12168 12288 13312 14976 16224 16384 18432 19968 21632 24336 24576 26624 29952 32448 36864 39936 43264 48672 49152 53248 59904 64896 73728 79872 86528 97344 106496 119808 129792 147456 159744 173056 194688 212992 239616 259584 319488 346112 389376 479232 519168 638976 692224 778752 958464 1038336 1384448 1557504 1916928 2076672 2768896 3115008 4153344 6230016 8306688 12460032 24920064