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4914464 = 251959137
BaseRepresentation
bin10010101111110100100000
3100020200101012
4102233310200
52224230324
6253200052
756525612
oct22576440
910220335
104914464
112857345
121790028
131030b89
1491cdb2
1567120e
hex4afd20

4914464 has 48 divisors (see below), whose sum is σ = 10432800. Its totient is φ = 2271744.

The previous prime is 4914457. The next prime is 4914473. The reversal of 4914464 is 4644194.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4914464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35804 + ... + 35940.

It is an arithmetic number, because the mean of its divisors is an integer number (217350).

Almost surely, 24914464 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 4914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216400).

4914464 is an abundant number, since it is smaller than the sum of its proper divisors (5518336).

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

4914464 is a wasteful number, since it uses less digits than its factorization.

4914464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 4914464 is about 2216.8590392716. The cubic root of 4914464 is about 170.0168841362.

The spelling of 4914464 in words is "four million, nine hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 137 152 236 274 304 472 548 608 944 1096 1121 1888 2192 2242 2603 4384 4484 5206 8083 8968 10412 16166 17936 20824 32332 35872 41648 64664 83296 129328 153577 258656 307154 614308 1228616 2457232 4914464