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725492664 = 2332132109547
BaseRepresentation
bin101011001111100…
…010001110111000
31212120010211211200
4223033202032320
52441211231124
6155553454200
723656404651
oct5317421670
91776124750
10725492664
11342581416
12182b71360
13b73c6900
146c4d2528
1543a5abc9
hex2b3e23b8

725492664 has 144 divisors (see below), whose sum is σ = 2151091800. Its totient is φ = 220776192.

The previous prime is 725492653. The next prime is 725492693. The reversal of 725492664 is 466294527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1326039 + ... + 1326585.

Almost surely, 2725492664 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 725492664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075545900).

725492664 is an abundant number, since it is smaller than the sum of its proper divisors (1425599136).

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

725492664 is a wasteful number, since it uses less digits than its factorization.

725492664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 674 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 725492664 is about 26934.9710228172. The cubic root of 725492664 is about 898.5543309185.

The spelling of 725492664 in words is "seven hundred twenty-five million, four hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 109 117 156 169 218 234 312 327 338 436 468 507 547 654 676 872 936 981 1014 1094 1308 1352 1417 1521 1641 1962 2028 2188 2616 2834 3042 3282 3924 4056 4251 4376 4923 5668 6084 6564 7111 7848 8502 9846 11336 12168 12753 13128 14222 17004 18421 19692 21333 25506 28444 34008 36842 39384 42666 51012 55263 56888 59623 63999 73684 85332 92443 102024 110526 119246 127998 147368 165789 170664 178869 184886 221052 238492 255996 277329 331578 357738 369772 442104 476984 511992 536607 554658 663156 715476 739544 775099 831987 1073214 1109316 1326312 1430952 1550198 1663974 2146428 2218632 2325297 3100396 3327948 4292856 4650594 6200792 6655896 6975891 9301188 10076287 13951782 18602376 20152574 27903564 30228861 40305148 55807128 60457722 80610296 90686583 120915444 181373166 241830888 362746332 725492664