Search a number
-
+
796397440 = 27531137293
BaseRepresentation
bin101111011110000…
…000111110000000
32001111120011220111
4233132000332000
53112334204230
6211005321104
725510160266
oct5736007600
92044504814
10796397440
11379600203
121a2866194
13c8cc11b7
1477aac436
1549db492a
hex2f780f80

796397440 has 128 divisors (see below), whose sum is σ = 1986405120. Its totient is φ = 304988160.

The previous prime is 796397429. The next prime is 796397461. The reversal of 796397440 is 44793697.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2717934 + ... + 2718226.

It is an arithmetic number, because the mean of its divisors is an integer number (15518790).

Almost surely, 2796397440 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 796397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993202560).

796397440 is an abundant number, since it is smaller than the sum of its proper divisors (1190007680).

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

796397440 is a wasteful number, since it uses less digits than its factorization.

796397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

The square root of 796397440 is about 28220.5145240125. The cubic root of 796397440 is about 926.9222029315.

The spelling of 796397440 in words is "seven hundred ninety-six million, three hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 137 155 160 248 274 293 310 320 496 548 586 620 640 685 992 1096 1172 1240 1370 1465 1984 2192 2344 2480 2740 2930 3968 4247 4384 4688 4960 5480 5860 8494 8768 9083 9376 9920 10960 11720 16988 17536 18166 18752 19840 21235 21920 23440 33976 36332 37504 40141 42470 43840 45415 46880 67952 72664 80282 84940 87680 90830 93760 135904 145328 160564 169880 181660 187520 200705 271808 290656 321128 339760 363320 401410 543616 581312 642256 679520 726640 802820 1162624 1244371 1284512 1359040 1453280 1605640 2488742 2569024 2718080 2906560 3211280 4977484 5138048 5813120 6221855 6422560 9954968 12443710 12845120 19909936 24887420 25690240 39819872 49774840 79639744 99549680 159279488 199099360 398198720 796397440