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52287682224 = 243231012831657
BaseRepresentation
bin110000101100100101…
…101011011010110000
311222222000111110200010
4300230211223122300
51324041121312344
640004242254520
73530510652141
oct605445533260
9158860443603
1052287682224
11201a2040618
12a173057440
134c139c134b
1427604b3ac8
1515606318b9
hexc2c96b6b0

52287682224 has 160 divisors (see below), whose sum is σ = 142934137344. Its totient is φ = 16438118400.

The previous prime is 52287682171. The next prime is 52287682253. The reversal of 52287682224 is 42228678225.

It is a Cunningham number, because it is equal to 2286652-1.

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

It is an unprimeable number.

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, 31554804 + ... + 31556460.

Almost surely, 252287682224 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 52287682224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71467068672).

52287682224 is an abundant number, since it is smaller than the sum of its proper divisors (90646455120).

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

52287682224 is a wasteful number, since it uses less digits than its factorization.

52287682224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2069 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The spelling of 52287682224 in words is "fifty-two billion, two hundred eighty-seven million, six hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 101 138 184 202 276 283 303 368 404 552 566 606 808 849 1104 1132 1212 1616 1657 1698 2264 2323 2424 3314 3396 4528 4646 4848 4971 6509 6628 6792 6969 9292 9942 13018 13256 13584 13938 18584 19527 19884 26036 26512 27876 28583 37168 38111 39054 39768 52072 55752 57166 76222 78108 79536 85749 104144 111504 114332 114333 152444 156216 167357 171498 228664 228666 304888 312432 334714 342996 457328 457332 468931 502071 609776 657409 669428 685992 914664 937862 1004142 1314818 1338856 1371984 1406793 1829328 1875724 1972227 2008284 2629636 2677712 2813586 3751448 3849211 3944454 4016568 5259272 5627172 7502896 7698422 7888908 8033136 10518544 10785413 11254344 11547633 15396844 15777816 21570826 22508688 23095266 30793688 31555632 32356239 43141652 46190532 47362031 61587376 64712478 86283304 92381064 94724062 129424956 142086093 172566608 184762128 189448124 258849912 284172186 378896248 517699824 568344372 757792496 1089326713 1136688744 2178653426 2273377488 3267980139 4357306852 6535960278 8714613704 13071920556 17429227408 26143841112 52287682224