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53823680 = 2652371103
BaseRepresentation
bin1100110101010…
…0100011000000
310202021112012122
43031110203000
5102234324210
65201343412
71222331231
oct315244300
9122245178
1053823680
1128422589
1216037b68
13b1c6941
147211088
154ad2b55
hex33548c0

53823680 has 112 divisors (see below), whose sum is σ = 136940544. Its totient is φ = 20106240.

The previous prime is 53823667. The next prime is 53823697. The reversal of 53823680 is 8632835.

It is a self number, because there is not a number n which added to its sum of digits gives 53823680.

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, 522509 + ... + 522611.

Almost surely, 253823680 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 53823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272).

53823680 is an abundant number, since it is smaller than the sum of its proper divisors (83116864).

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

53823680 is a wasteful number, since it uses less digits than its factorization.

53823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 53823680 is about 7336.4623627468. The cubic root of 53823680 is about 377.5644788476.

The spelling of 53823680 in words is "fifty-three million, eight hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 71 80 92 103 115 142 160 184 206 230 284 320 355 368 412 460 515 568 710 736 824 920 1030 1136 1420 1472 1633 1648 1840 2060 2272 2369 2840 3266 3296 3680 4120 4544 4738 5680 6532 6592 7313 7360 8165 8240 9476 11360 11845 13064 14626 16330 16480 18952 22720 23690 26128 29252 32660 32960 36565 37904 47380 52256 58504 65320 73130 75808 94760 104512 117008 130640 146260 151616 168199 189520 234016 261280 292520 336398 379040 468032 522560 585040 672796 758080 840995 1170080 1345592 1681990 2340160 2691184 3363980 5382368 6727960 10764736 13455920 26911840 53823680