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4664016 = 243272661
BaseRepresentation
bin10001110010101011010000
322202221211100
4101302223100
52143222031
6243544400
754433500
oct21625320
98687740
104664016
1126a6165
12168b100
13c73b96
14895a00
15621de6
hex472ad0

4664016 has 90 divisors (see below), whose sum is σ = 15206802. Its totient is φ = 1330560.

The previous prime is 4664003. The next prime is 4664017. The reversal of 4664016 is 6104664.

4664016 is a `hidden beast` number, since 4 + 6 + 640 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4410000 + 254016 = 2100^2 + 504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664017) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6726 + ... + 7386.

Almost surely, 24664016 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 4664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603401).

4664016 is an abundant number, since it is smaller than the sum of its proper divisors (10542786).

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

4664016 is a wasteful number, since it uses less digits than its factorization.

4664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4664016 is about 2159.6333022067. The cubic root of 4664016 is about 167.0782856929.

It can be divided in two parts, 46640 and 16, that added together give a 6-th power (46656 = 66).

The spelling of 4664016 in words is "four million, six hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 661 784 882 1008 1176 1322 1764 1983 2352 2644 3528 3966 4627 5288 5949 7056 7932 9254 10576 11898 13881 15864 18508 23796 27762 31728 32389 37016 41643 47592 55524 64778 74032 83286 95184 97167 111048 129556 166572 194334 222096 259112 291501 333144 388668 518224 583002 666288 777336 1166004 1554672 2332008 4664016