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532909664 = 2574361907
BaseRepresentation
bin11111110000111…
…000111001100000
31101010202121121222
4133300320321200
52042411102124
6124514034212
716130441330
oct3760707140
91333677558
10532909664
112538a4a11
1212a578968
1386538581
1450ac10c0
1531bb925e
hex1fc38e60

532909664 has 96 divisors (see below), whose sum is σ = 1248420096. Its totient is φ = 219179520.

The previous prime is 532909607. The next prime is 532909679. The reversal of 532909664 is 466909235.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587099 + ... + 588005.

It is an arithmetic number, because the mean of its divisors is an integer number (13004376).

Almost surely, 2532909664 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 532909664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624210048).

532909664 is an abundant number, since it is smaller than the sum of its proper divisors (715510432).

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

532909664 is a wasteful number, since it uses less digits than its factorization.

532909664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The square root of 532909664 is about 23084.8362350700. The cubic root of 532909664 is about 810.7454723184.

The spelling of 532909664 in words is "five hundred thirty-two million, nine hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 61 86 112 122 172 224 244 301 344 427 488 602 688 854 907 976 1204 1376 1708 1814 1952 2408 2623 3416 3628 4816 5246 6349 6832 7256 9632 10492 12698 13664 14512 18361 20984 25396 29024 36722 39001 41968 50792 55327 73444 78002 83936 101584 110654 146888 156004 203168 221308 273007 293776 312008 387289 442616 546014 587552 624016 774578 885232 1092028 1248032 1549156 1770464 2184056 2379061 3098312 4368112 4758122 6196624 8736224 9516244 12393248 16653427 19032488 33306854 38064976 66613708 76129952 133227416 266454832 532909664