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725308780 = 225723783241
BaseRepresentation
bin101011001110110…
…101010101101100
31212112210111121011
4223032311111230
52441134340110
6155545515004
723655010600
oct5316652554
91775714534
10725308780
11342466249
12182aa2a64
13b7360cc1
146c485500
1543a2148a
hex2b3b556c

725308780 has 144 divisors (see below), whose sum is σ = 1849278816. Its totient is φ = 238049280.

The previous prime is 725308751. The next prime is 725308823. The reversal of 725308780 is 87803527.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3009460 + ... + 3009700.

It is an arithmetic number, because the mean of its divisors is an integer number (12842214).

Almost surely, 2725308780 is an apocalyptic number.

725308780 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725308780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924639408).

725308780 is an abundant number, since it is smaller than the sum of its proper divisors (1123970036).

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

725308780 is a wasteful number, since it uses less digits than its factorization.

725308780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 725308780 is about 26931.5573259327. The cubic root of 725308780 is about 898.4784083835.

The spelling of 725308780 in words is "seven hundred twenty-five million, three hundred eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 83 98 140 148 166 185 196 241 245 259 332 370 415 482 490 518 581 740 830 964 980 1036 1162 1205 1295 1660 1687 1813 2324 2410 2590 2905 3071 3374 3626 4067 4820 5180 5810 6142 6748 7252 8134 8435 8917 9065 11620 11809 12284 15355 16268 16870 17834 18130 20003 20335 21497 23618 30710 33740 35668 36260 40006 40670 42994 44585 47236 59045 61420 62419 80012 81340 85988 89170 100015 107485 118090 124838 140021 150479 178340 200030 214970 236180 249676 280042 300958 312095 400060 429940 436933 560084 601916 624190 700105 740111 752395 873866 980147 1248380 1400210 1480222 1504790 1747732 1960294 2184665 2800420 2960444 3009580 3700555 3920588 4369330 4900735 5180777 7401110 8738660 9801470 10361554 14802220 19602940 20723108 25903885 36265439 51807770 72530878 103615540 145061756 181327195 362654390 725308780