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5624786048 = 27729472
BaseRepresentation
bin1010011110100001…
…10110110010000000
3112112000000201220012
411033100312302000
543004421123143
62330050404052
7256246615100
oct51720666200
915460021805
105624786048
112427055012
12110b890628
136b842518b
143b505b200
1522dc1d418
hex14f436c80

5624786048 has 72 divisors (see below), whose sum is σ = 13048897995. Its totient is φ = 2408077056.

The previous prime is 5624786047. The next prime is 5624786071. The reversal of 5624786048 is 8406874265.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2812393024 + 2812393024 = 53032^2 + 53032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=53032.

It is a junction number, because it is equal to n+sod(n) for n = 5624785987 and 5624786005.

It is not an unprimeable number, because it can be changed into a prime (5624786047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5939111 + ... + 5940057.

Almost surely, 25624786048 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 5624786048

5624786048 is an abundant number, since it is smaller than the sum of its proper divisors (7424111947).

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

5624786048 is an frugal number, since it uses more digits than its factorization.

5624786048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The square root of 5624786048 is about 74998.5736397700. The cubic root of 5624786048 is about 1778.4241036796.

Multiplying 5624786048 by its sum of digits (50), we get a square (281239302400 = 5303202).

The spelling of 5624786048 in words is "five billion, six hundred twenty-four million, seven hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 947 1568 1894 3136 3788 6272 6629 7576 13258 15152 26516 30304 46403 53032 60608 92806 106064 121216 185612 212128 371224 424256 742448 848512 896809 1484896 1793618 2969792 3587236 5939584 6277663 7174472 12555326 14348944 25110652 28697888 43943641 50221304 57395776 87887282 100442608 114791552 175774564 200885216 351549128 401770432 703098256 803540864 1406196512 2812393024 5624786048