Search a number
-
+
51616620 = 2232511131199
BaseRepresentation
bin1100010011100…
…1101101101100
310121010101200200
43010321231230
5101203212440
65042153500
71164506526
oct304715554
9117111620
1051616620
1127155370
1215352890
13a9031a3
146bd8a16
1547e8c30
hex3139b6c

51616620 has 144 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 12355200.

The previous prime is 51616583. The next prime is 51616667. The reversal of 51616620 is 2661615.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259281 + ... + 259479.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200).

Almost surely, 251616620 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 51616620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

51616620 is an abundant number, since it is smaller than the sum of its proper divisors (121356180).

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

51616620 is a wasteful number, since it uses less digits than its factorization.

51616620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51616620 is about 7184.4707529504. The cubic root of 51616620 is about 372.3315635641.

It can be divided in two parts, 5161 and 6620, that added together give a triangular number (11781 = T153).

The spelling of 51616620 in words is "fifty-one million, six hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 131 132 165 180 198 199 220 262 330 393 396 398 495 524 597 655 660 786 796 990 995 1179 1194 1310 1441 1572 1791 1965 1980 1990 2189 2358 2388 2620 2882 2985 3582 3930 3980 4323 4378 4716 5764 5895 5970 6567 7164 7205 7860 8646 8756 8955 10945 11790 11940 12969 13134 14410 17292 17910 19701 21615 21890 23580 25938 26069 26268 28820 32835 35820 39402 43230 43780 51876 52138 64845 65670 78207 78804 86460 98505 104276 129690 130345 131340 156414 197010 234621 259380 260690 286759 312828 391035 394020 469242 521380 573518 782070 860277 938484 1147036 1173105 1433795 1564140 1720554 2346210 2580831 2867590 3441108 4301385 4692420 5161662 5735180 8602770 10323324 12904155 17205540 25808310 51616620