Search a number
-
+
52038965712 = 24359731511667
BaseRepresentation
bin110000011101110000…
…111001100111010000
311222022200111100202110
4300131300321213100
51323033433400322
635523435345320
73521400624126
oct603560714720
9158280440673
1052038965712
1120084704188
12a1038b2240
134ba430ac06
14273944d916
1515488a2c0c
hexc1dc399d0

52038965712 has 160 divisors (see below), whose sum is σ = 139586780160. Its totient is φ = 16697318400.

The previous prime is 52038965711. The next prime is 52038965743. The reversal of 52038965712 is 21756983025.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52038965711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31216303 + ... + 31217969.

It is an arithmetic number, because the mean of its divisors is an integer number (872417376).

Almost surely, 252038965712 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 52038965712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69793390080).

52038965712 is an abundant number, since it is smaller than the sum of its proper divisors (87547814448).

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

52038965712 is a wasteful number, since it uses less digits than its factorization.

52038965712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 52038965712 in words is "fifty-two billion, thirty-eight million, nine hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 73 118 146 151 177 219 236 292 302 354 438 453 472 584 604 708 876 906 944 1168 1208 1416 1667 1752 1812 2416 2832 3334 3504 3624 4307 5001 6668 7248 8614 8909 10002 11023 12921 13336 17228 17818 20004 22046 25842 26672 26727 33069 34456 35636 40008 44092 51684 53454 66138 68912 71272 80016 88184 98353 103368 106908 121691 132276 142544 176368 196706 206736 213816 243382 251717 264552 295059 365073 393412 427632 486764 503434 529104 590118 650357 730146 755151 786824 973528 1006868 1180236 1300714 1460292 1510302 1573648 1947056 1951071 2013736 2360472 2601428 2920584 3020604 3902142 4027472 4720944 5202856 5841168 6041208 7179769 7804284 10405712 12082416 14359538 14851303 15608568 18375341 21539307 28719076 29702606 31217136 36750682 43078614 44553909 55126023 57438152 59405212 73501364 86157228 89107818 110252046 114876304 118810424 147002728 172314456 178215636 220504092 237620848 294005456 344628912 356431272 441008184 712862544 882016368 1084145119 2168290238 3252435357 4336580476 6504870714 8673160952 13009741428 17346321904 26019482856 52038965712