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264482496 = 2634163313
BaseRepresentation
bin11111100001110…
…10111011000000
3200102200002210000
433300322323000
51020201414441
642124440000
76361030665
oct1760727300
9612602700
10264482496
11126325683
12746a9000
1342a43625
14271a9a6c
15183452b6
hexfc3aec0

264482496 has 140 divisors (see below), whose sum is σ = 791339032. Its totient is φ = 87340032.

The previous prime is 264482459. The next prime is 264482501. The reversal of 264482496 is 694284462.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 844836 + ... + 845148.

Almost surely, 2264482496 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 264482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395669516).

264482496 is an abundant number, since it is smaller than the sum of its proper divisors (526856536).

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

264482496 is a wasteful number, since it uses less digits than its factorization.

264482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 481 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 264482496 is about 16262.9178193828. The cubic root of 264482496 is about 641.8974419107.

The spelling of 264482496 in words is "two hundred sixty-four million, four hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 163 192 216 288 313 324 326 432 489 576 626 648 652 864 939 978 1252 1296 1304 1467 1728 1878 1956 2504 2592 2608 2817 2934 3756 3912 4401 5008 5184 5216 5634 5868 7512 7824 8451 8802 10016 10432 11268 11736 13203 15024 15648 16902 17604 20032 22536 23472 25353 26406 30048 31296 33804 35208 45072 46944 50706 51019 52812 60096 67608 70416 90144 93888 101412 102038 105624 135216 140832 153057 180288 202824 204076 211248 270432 281664 306114 405648 408152 422496 459171 540864 612228 811296 816304 844992 918342 1224456 1377513 1622592 1632608 1836684 2448912 2755026 3265216 3673368 4132539 4897824 5510052 7346736 8265078 9795648 11020104 14693472 16530156 22040208 29386944 33060312 44080416 66120624 88160832 132241248 264482496