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5226624 = 273213349
BaseRepresentation
bin10011111100000010000000
3100211112120200
4103330002000
52314222444
6304005200
762265654
oct23740200
910745520
105226624
112a4a927
121900800
13110cca0
149a0a64
156d3969
hex4fc080

5226624 has 96 divisors (see below), whose sum is σ = 16243500. Its totient is φ = 1603584.

The previous prime is 5226619. The next prime is 5226643. The reversal of 5226624 is 4266225.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 28224 = 2280^2 + 168^2 .

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

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, 14802 + ... + 15150.

Almost surely, 25226624 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 5226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121750).

5226624 is an abundant number, since it is smaller than the sum of its proper divisors (11016876).

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

5226624 is a wasteful number, since it uses less digits than its factorization.

5226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5226624 is about 2286.1810951891. The cubic root of 5226624 is about 173.5429941591.

The spelling of 5226624 in words is "five million, two hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 349 384 416 468 576 624 698 832 936 1047 1152 1248 1396 1664 1872 2094 2496 2792 3141 3744 4188 4537 4992 5584 6282 7488 8376 9074 11168 12564 13611 14976 16752 18148 22336 25128 27222 33504 36296 40833 44672 50256 54444 67008 72592 81666 100512 108888 134016 145184 163332 201024 217776 290368 326664 402048 435552 580736 653328 871104 1306656 1742208 2613312 5226624