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5053824 = 273241107
BaseRepresentation
bin10011010001110110000000
3100111202112200
4103101312000
52243210244
6300153200
760646116
oct23216600
910452480
105053824
112942016
121838800
13107c439
14957ab6
1569c669
hex4d1d80

5053824 has 96 divisors (see below), whose sum is σ = 15036840. Its totient is φ = 1628160.

The previous prime is 5053817. The next prime is 5053843. The reversal of 5053824 is 4283505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×50538242 = 51082274045952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47179 + ... + 47285.

Almost surely, 25053824 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 5053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518420).

5053824 is an abundant number, since it is smaller than the sum of its proper divisors (9983016).

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

5053824 is a wasteful number, since it uses less digits than its factorization.

5053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5053824 is about 2248.0711732505. The cubic root of 5053824 is about 171.6089910036.

The spelling of 5053824 in words is "five million, fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 107 123 128 144 164 192 214 246 288 321 328 369 384 428 492 576 642 656 738 856 963 984 1152 1284 1312 1476 1712 1926 1968 2568 2624 2952 3424 3852 3936 4387 5136 5248 5904 6848 7704 7872 8774 10272 11808 13161 13696 15408 15744 17548 20544 23616 26322 30816 35096 39483 41088 47232 52644 61632 70192 78966 105288 123264 140384 157932 210576 280768 315864 421152 561536 631728 842304 1263456 1684608 2526912 5053824