Search a number
-
+
264996424 = 23711717383
BaseRepresentation
bin11111100101110…
…00011001001000
3200110122012202101
433302320121020
51020314341144
642143443144
76365301220
oct1762703110
9613565671
10264996424
11126646810
12748b64b4
1342b93524
14272a1080
15183e76d4
hexfcb8648

264996424 has 128 divisors (see below), whose sum is σ = 644474880. Its totient is φ = 99187200.

The previous prime is 264996419. The next prime is 264996491. The reversal of 264996424 is 424699462.

264996424 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3192687 + ... + 3192769.

It is an arithmetic number, because the mean of its divisors is an integer number (5034960).

Almost surely, 2264996424 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 264996424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322237440).

264996424 is an abundant number, since it is smaller than the sum of its proper divisors (379478456).

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

264996424 is a wasteful number, since it uses less digits than its factorization.

264996424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The square root of 264996424 is about 16278.7107597623. The cubic root of 264996424 is about 642.3129396339.

It can be divided in two parts, 26499 and 6424, that added together give a palindrome (32923).

The spelling of 264996424 in words is "two hundred sixty-four million, nine hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 73 77 83 88 142 146 154 166 284 292 308 332 497 511 568 581 584 616 664 781 803 913 994 1022 1162 1562 1606 1826 1988 2044 2324 3124 3212 3652 3976 4088 4648 5183 5467 5621 5893 6059 6248 6391 6424 7304 10366 10934 11242 11786 12118 12782 20732 21868 22484 23572 24236 25564 36281 41251 41464 42413 43736 44968 47144 48472 51128 57013 64823 66649 72562 82502 84826 114026 129646 133298 145124 165004 169652 228052 259292 266596 290248 330008 339304 399091 430189 453761 456104 466543 518584 533192 798182 860378 907522 933086 1596364 1720756 1815044 1866172 3011323 3192728 3441512 3630088 3732344 4732079 6022646 9464158 12045292 18928316 24090584 33124553 37856632 66249106 132498212 264996424