[go: up one dir, main page]

Search a number
-
+
51786080 = 2551779241
BaseRepresentation
bin1100010110001…
…1000101100000
310121110000010222
43011203011200
5101224123310
65045542212
71166113553
oct305430540
9117400128
1051786080
1127260715
1215414968
13a962368
146c4069a
15482e055
hex3163160

51786080 has 96 divisors (see below), whose sum is σ = 131725440. Its totient is φ = 19169280.

The previous prime is 51786073. The next prime is 51786103. The reversal of 51786080 is 8068715.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 51786080.

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, 214760 + ... + 215000.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 251786080 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 51786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

51786080 is an abundant number, since it is smaller than the sum of its proper divisors (79939360).

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

51786080 is a wasteful number, since it uses less digits than its factorization.

51786080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 51786080 is about 7196.2545813777. The cubic root of 51786080 is about 372.7385796509.

The spelling of 51786080 in words is "fifty-one million, seven hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 79 80 85 136 158 160 170 241 272 316 340 395 482 544 632 680 790 964 1205 1264 1343 1360 1580 1928 2410 2528 2686 2720 3160 3856 4097 4820 5372 6320 6715 7712 8194 9640 10744 12640 13430 16388 19039 19280 20485 21488 26860 32776 38078 38560 40970 42976 53720 65552 76156 81940 95195 107440 131104 152312 163880 190390 214880 304624 323663 327760 380780 609248 647326 655520 761560 1294652 1523120 1618315 2589304 3046240 3236630 5178608 6473260 10357216 12946520 25893040 51786080