Search a number
-
+
53048760 = 23351953439
BaseRepresentation
bin1100101001011…
…1010110111000
310200211011012220
43022113112320
5102040030020
65133004040
71212623052
oct312272670
9120734186
1053048760
1127a43356
1215923620
13acb4ccb
14708c8d2
1549cd240
hex32975b8

53048760 has 128 divisors (see below), whose sum is σ = 171072000. Its totient is φ = 13118976.

The previous prime is 53048753. The next prime is 53048783. The reversal of 53048760 is 6784035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120621 + ... + 121059.

It is an arithmetic number, because the mean of its divisors is an integer number (1336500).

Almost surely, 253048760 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 53048760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536000).

53048760 is an abundant number, since it is smaller than the sum of its proper divisors (118023240).

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

53048760 is a wasteful number, since it uses less digits than its factorization.

53048760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 53048760 is about 7283.4579699481. The cubic root of 53048760 is about 375.7437328775.

The spelling of 53048760 in words is "fifty-three million, forty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 53 57 60 76 95 106 114 120 152 159 190 212 228 265 285 318 380 424 439 456 530 570 636 760 795 878 1007 1060 1140 1272 1317 1590 1756 2014 2120 2195 2280 2634 3021 3180 3512 4028 4390 5035 5268 6042 6360 6585 8056 8341 8780 10070 10536 12084 13170 15105 16682 17560 20140 23267 24168 25023 26340 30210 33364 40280 41705 46534 50046 52680 60420 66728 69801 83410 93068 100092 116335 120840 125115 139602 166820 186136 200184 232670 250230 279204 333640 349005 442073 465340 500460 558408 698010 884146 930680 1000920 1326219 1396020 1768292 2210365 2652438 2792040 3536584 4420730 5304876 6631095 8841460 10609752 13262190 17682920 26524380 53048760