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5458464 = 2532111723
BaseRepresentation
bin10100110100101000100000
3101021022121100
4110310220200
52344132324
6312554400
764252614
oct24645040
911238540
105458464
113099030
1219b2a00
13119167b
14a21344
1572c4c9
hex534a20

5458464 has 72 divisors (see below), whose sum is σ = 16943472. Its totient is φ = 1653120.

The previous prime is 5458457. The next prime is 5458469. The reversal of 5458464 is 4648545.

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 not an unprimeable number, because it can be changed into a prime (5458469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2307 + ... + 4029.

It is an arithmetic number, because the mean of its divisors is an integer number (235326).

Almost surely, 25458464 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 5458464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8471736).

5458464 is an abundant number, since it is smaller than the sum of its proper divisors (11485008).

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

5458464 is a wasteful number, since it uses less digits than its factorization.

5458464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1739 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 5458464 is about 2336.3355923326. The cubic root of 5458464 is about 176.0719402873.

It can be divided in two parts, 545 and 8464, that added together give a palindrome (9009).

The spelling of 5458464 in words is "five million, four hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1723 3168 3446 5169 6892 10338 13784 15507 18953 20676 27568 31014 37906 41352 55136 56859 62028 75812 82704 113718 124056 151624 165408 170577 227436 248112 303248 341154 454872 496224 606496 682308 909744 1364616 1819488 2729232 5458464