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4853664 = 253219887
BaseRepresentation
bin10010100000111110100000
3100010120222100
4102200332200
52220304124
6252010400
756153424
oct22407640
910116870
104853664
1128156a2
121760a00
13100c2ba
14904b84
1565d1c9
hex4a0fa0

4853664 has 72 divisors (see below), whose sum is σ = 14545440. Its totient is φ = 1531008.

The previous prime is 4853659. The next prime is 4853671. The reversal of 4853664 is 4663584.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 48 + 87 + 53 + 313 + 64 + 66 + 410 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5029 + ... + 5915.

It is an arithmetic number, because the mean of its divisors is an integer number (202020).

Almost surely, 24853664 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 4853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272720).

4853664 is an abundant number, since it is smaller than the sum of its proper divisors (9691776).

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

4853664 is a wasteful number, since it uses less digits than its factorization.

4853664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 911 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4853664 is about 2203.1032658502. The cubic root of 4853664 is about 169.3128432575.

The spelling of 4853664 in words is "four million, eight hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 887 912 1368 1774 1824 2661 2736 3548 5322 5472 7096 7983 10644 14192 15966 16853 21288 28384 31932 33706 42576 50559 63864 67412 85152 101118 127728 134824 151677 202236 255456 269648 303354 404472 539296 606708 808944 1213416 1617888 2426832 4853664