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662282016 = 253113120231
BaseRepresentation
bin100111011110011…
…001111100100000
31201011012102010120
4213132121330200
52324021011031
6145415000240
722261206234
oct4736317440
91634172116
10662282016
1130a928310
12165969080
13a7294466
1463d5a5c4
153d221a96
hex27799f20

662282016 has 96 divisors (see below), whose sum is σ = 1957810176. Its totient is φ = 194208000.

The previous prime is 662282003. The next prime is 662282017. The reversal of 662282016 is 610282266.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (662282017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22621 + ... + 42851.

It is an arithmetic number, because the mean of its divisors is an integer number (20393856).

Almost surely, 2662282016 is an apocalyptic number.

662282016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 662282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978905088).

662282016 is an abundant number, since it is smaller than the sum of its proper divisors (1295528160).

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

662282016 is a wasteful number, since it uses less digits than its factorization.

662282016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20286 (or 20278 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 662282016 is about 25734.8405085402. The cubic root of 662282016 is about 871.6610780623.

The spelling of 662282016 in words is "six hundred sixty-two million, two hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 20231 32736 40462 60693 80924 121386 161848 222541 242772 323696 445082 485544 627161 647392 667623 890164 971088 1254322 1335246 1780328 1881483 1942176 2508644 2670492 3560656 3762966 5017288 5340984 6898771 7121312 7525932 10034576 10681968 13797542 15051864 20069152 20696313 21363936 27595084 30103728 41392626 55190168 60207456 82785252 110380336 165570504 220760672 331141008 662282016