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51796960 = 25517137139
BaseRepresentation
bin1100010110010…
…1101111100000
310121110120001221
43011211233200
5101230000320
65050104424
71166160355
oct305455740
9117416057
1051796960
1127268906
121541b114
13a9672b7
146c4462c
1548323aa
hex3165be0

51796960 has 96 divisors (see below), whose sum is σ = 131453280. Its totient is φ = 19218432.

The previous prime is 51796957. The next prime is 51796973. The reversal of 51796960 is 6969715.

51796960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372571 + ... + 372709.

It is an arithmetic number, because the mean of its divisors is an integer number (1369305).

Almost surely, 251796960 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 51796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65726640).

51796960 is an abundant number, since it is smaller than the sum of its proper divisors (79656320).

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

51796960 is a wasteful number, since it uses less digits than its factorization.

51796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 51796960 is about 7197.0104904745. The cubic root of 51796960 is about 372.7646813354.

The spelling of 51796960 in words is "fifty-one million, seven hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 137 139 160 170 272 274 278 340 544 548 556 680 685 695 1096 1112 1360 1370 1390 2192 2224 2329 2363 2720 2740 2780 4384 4448 4658 4726 5480 5560 9316 9452 10960 11120 11645 11815 18632 18904 19043 21920 22240 23290 23630 37264 37808 38086 46580 47260 74528 75616 76172 93160 94520 95215 152344 186320 189040 190430 304688 323731 372640 378080 380860 609376 647462 761720 1294924 1523440 1618655 2589848 3046880 3237310 5179696 6474620 10359392 12949240 25898480 51796960