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716944860 = 2232519415113
BaseRepresentation
bin101010101110111…
…011010111011100
31211222001120110100
4222232323113130
52432014213420
6155050341100
723523634152
oct5256732734
91758046410
10716944860
11338773315
1218012a790
13b56c3038
146b3093d2
1542e1d190
hex2abbb5dc

716944860 has 144 divisors (see below), whose sum is σ = 2345484960. Its totient is φ = 176670720.

The previous prime is 716944853. The next prime is 716944867. The reversal of 716944860 is 68449617.

716944860 is a `hidden beast` number, since 7 + 169 + 4 + 486 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (716944853) and next prime (716944867).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716944867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137664 + ... + 142776.

It is an arithmetic number, because the mean of its divisors is an integer number (16288090).

Almost surely, 2716944860 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 716944860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172742480).

716944860 is an abundant number, since it is smaller than the sum of its proper divisors (1628540100).

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

716944860 is a wasteful number, since it uses less digits than its factorization.

716944860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 716944860 is about 26775.8260376781. The cubic root of 716944860 is about 895.0114372830.

The spelling of 716944860 in words is "seven hundred sixteen million, nine hundred forty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 82 90 95 114 123 164 171 180 190 205 228 246 285 342 369 380 410 492 570 615 684 738 779 820 855 1140 1230 1476 1558 1710 1845 2337 2460 3116 3420 3690 3895 4674 5113 7011 7380 7790 9348 10226 11685 14022 15339 15580 20452 23370 25565 28044 30678 35055 46017 46740 51130 61356 70110 76695 92034 97147 102260 140220 153390 184068 194294 209633 230085 291441 306780 388588 419266 460170 485735 582882 628899 838532 874323 920340 971470 1048165 1165764 1257798 1457205 1748646 1886697 1942940 2096330 2515596 2914410 3144495 3497292 3773394 3983027 4192660 4371615 5828820 6288990 7546788 7966054 8743230 9433485 11949081 12577980 15932108 17486460 18866970 19915135 23898162 35847243 37733940 39830270 47796324 59745405 71694486 79660540 119490810 143388972 179236215 238981620 358472430 716944860