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502216968 = 2331119591697
BaseRepresentation
bin11101111011110…
…011100100001000
31022000000021011110
4131323303210020
52012031420333
6121500130320
715305526261
oct3573634410
91260007143
10502216968
11238541050
121202369a0
1380080206
144a9b1968
152e155063
hex1def3908

502216968 has 128 divisors (see below), whose sum is σ = 1467072000. Its totient is φ = 141649920.

The previous prime is 502216963. The next prime is 502216993. The reversal of 502216968 is 869612205.

It is a super-2 number, since 2×5022169682 = 504443765894226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (502216961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295096 + ... + 296792.

It is an arithmetic number, because the mean of its divisors is an integer number (11461500).

Almost surely, 2502216968 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 502216968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733536000).

502216968 is an abundant number, since it is smaller than the sum of its proper divisors (964855032).

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

502216968 is a wasteful number, since it uses less digits than its factorization.

502216968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 502216968 is about 22410.1978572256. The cubic root of 502216968 is about 794.8718689114.

It can be divided in two parts, 502 and 216968, that added together give a triangular number (217470 = T659).

The spelling of 502216968 in words is "five hundred two million, two hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 59 66 76 88 114 118 132 152 177 209 228 236 264 354 418 456 472 627 649 708 836 1121 1254 1298 1416 1672 1697 1947 2242 2508 2596 3363 3394 3894 4484 5016 5091 5192 6726 6788 7788 8968 10182 12331 13452 13576 15576 18667 20364 24662 26904 32243 36993 37334 40728 49324 56001 64486 73986 74668 96729 98648 100123 112002 128972 147972 149336 193458 200246 224004 257944 295944 300369 354673 386916 400492 448008 600738 709346 773832 800984 1064019 1101353 1201476 1418692 1902337 2128038 2202706 2402952 2837384 3304059 3804674 4256076 4405412 5707011 6608118 7609348 8512152 8810824 11414022 13216236 15218696 20925707 22828044 26432472 41851414 45656088 62777121 83702828 125554242 167405656 251108484 502216968