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5441664 = 27337383
BaseRepresentation
bin10100110000100010000000
3101020110120010
4110300202000
52343113124
6312344520
764152624
oct24604200
911213503
105441664
113087448
1219a5140
131186b27
14a19184
15727529
hex530880

5441664 has 64 divisors (see below), whose sum is σ = 14883840. Its totient is φ = 1760256.

The previous prime is 5441663. The next prime is 5441671. The reversal of 5441664 is 4661445.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×54416642 = 59223414177792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5441663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14017 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (232560).

Almost surely, 25441664 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 5441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441920).

5441664 is an abundant number, since it is smaller than the sum of its proper divisors (9442176).

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

5441664 is a wasteful number, since it uses less digits than its factorization.

5441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 5441664 is about 2332.7374477210. The cubic root of 5441664 is about 175.8911172263.

It can be divided in two parts, 5441 and 664, that added together give a triangular number (6105 = T110).

The spelling of 5441664 in words is "five million, four hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 383 384 444 592 766 888 1149 1184 1532 1776 2298 2368 3064 3552 4596 4736 6128 7104 9192 12256 14171 14208 18384 24512 28342 36768 42513 49024 56684 73536 85026 113368 147072 170052 226736 340104 453472 680208 906944 1360416 1813888 2720832 5441664