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5341824 = 27324637
BaseRepresentation
bin10100011000001010000000
3101001101121100
4110120022000
52331414244
6310254400
763255555
oct24301200
911041540
105341824
113019434
121957400
131150557
149d0a2c
15707b69
hex518280

5341824 has 48 divisors (see below), whose sum is σ = 15374970. Its totient is φ = 1780224.

The previous prime is 5341823. The next prime is 5341841. The reversal of 5341824 is 4281435.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 360000 = 2232^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5341823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1167 + ... + 3470.

Almost surely, 25341824 is an apocalyptic number.

It is an amenable number.

5341824 is an abundant number, since it is smaller than the sum of its proper divisors (10033146).

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

5341824 is a wasteful number, since it uses less digits than its factorization.

5341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4642 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 5341824 is about 2311.2386289607. The cubic root of 5341824 is about 174.8087597961.

The spelling of 5341824 in words is "five million, three hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4637 9274 13911 18548 27822 37096 41733 55644 74192 83466 111288 148384 166932 222576 296768 333864 445152 593536 667728 890304 1335456 1780608 2670912 5341824