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4522464 = 253241383
BaseRepresentation
bin10001010000000111100000
322111202122200
4101100013200
52124204324
6240533200
753304012
oct21200740
98452580
104522464
112609881
121621200
13c2461b
1485a1b2
155e4ec9
hex4501e0

4522464 has 72 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1466880.

The previous prime is 4522457. The next prime is 4522471. The reversal of 4522464 is 4642254.

It is an interprime number because it is at equal distance from previous prime (4522457) and next prime (4522471).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11617 + ... + 11999.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 24522464 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 4522464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4522464 is an abundant number, since it is smaller than the sum of its proper divisors (8686368).

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

4522464 is a wasteful number, since it uses less digits than its factorization.

4522464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 4522464 is about 2126.6085676494. The cubic root of 4522464 is about 165.3706269208.

It can be divided in two parts, 452 and 2464, that added together give a square (2916 = 542).

The spelling of 4522464 in words is "four million, five hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 383 492 656 738 766 984 1149 1312 1476 1532 1968 2298 2952 3064 3447 3936 4596 5904 6128 6894 9192 11808 12256 13788 15703 18384 27576 31406 36768 47109 55152 62812 94218 110304 125624 141327 188436 251248 282654 376872 502496 565308 753744 1130616 1507488 2261232 4522464