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716980992 = 28371310259
BaseRepresentation
bin101010101111000…
…100001100000000
31211222010102000120
4222233010030000
52432021342432
6155051220240
723524144410
oct5257041400
91758112016
10716980992
11338798482
12180147680
13b5706610
146b318640
1542e28c2c
hex2abc4300

716980992 has 144 divisors (see below), whose sum is σ = 2348801280. Its totient is φ = 189075456.

The previous prime is 716980987. The next prime is 716980993. The reversal of 716980992 is 299089617.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716980993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64759 + ... + 75017.

It is an arithmetic number, because the mean of its divisors is an integer number (16311120).

Almost surely, 2716980992 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 716980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174400640).

716980992 is an abundant number, since it is smaller than the sum of its proper divisors (1631820288).

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

716980992 is a wasteful number, since it uses less digits than its factorization.

716980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 716980992 is about 26776.5007422553. The cubic root of 716980992 is about 895.0264723816.

The spelling of 716980992 in words is "seven hundred sixteen million, nine hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 10259 11648 17472 20518 23296 30777 34944 41036 61554 69888 71813 82072 123108 133367 143626 164144 215439 246216 266734 287252 328288 400101 430878 492432 533468 574504 656576 800202 861756 933569 984864 1066936 1149008 1313152 1600404 1723512 1867138 1969728 2133872 2298016 2626304 2800707 3200808 3447024 3734276 3939456 4267744 4596032 5601414 6401616 6894048 7468552 7878912 8535488 9192064 11202828 12803232 13788096 14937104 17070976 18384128 22405656 25606464 27576192 29874208 34141952 44811312 51212928 55152384 59748416 89622624 102425856 119496832 179245248 238993664 358490496 716980992