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5903264320 = 265181101921
BaseRepresentation
bin1010111111101110…
…01010101001000000
3120020102000220021021
411133313022221000
544042213424240
62413435235224
7266200630102
oct53767125100
916212026237
105903264320
11255a269948
121188ba8b14
13731029015
1440002b572
152483ca54a
hex15fdcaa40

5903264320 has 56 divisors (see below), whose sum is σ = 14134950648. Its totient is φ = 2348236800.

The previous prime is 5903264317. The next prime is 5903264321. The reversal of 5903264320 is 234623095.

It can be written as a sum of positive squares in 4 ways, for example, as 750321664 + 5152942656 = 27392^2 + 71784^2 .

It is not an unprimeable number, because it can be changed into a prime (5903264321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6960 + ... + 108880.

It is an arithmetic number, because the mean of its divisors is an integer number (252409833).

Almost surely, 25903264320 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 5903264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067475324).

5903264320 is an abundant number, since it is smaller than the sum of its proper divisors (8231686328).

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

5903264320 is a wasteful number, since it uses less digits than its factorization.

5903264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102119 (or 102109 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 5903264320 is about 76832.7034536726. The cubic root of 5903264320 is about 1807.3020578590.

The spelling of 5903264320 in words is "five billion, nine hundred three million, two hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 724 905 1448 1810 2896 3620 5792 7240 11584 14480 28960 57920 101921 203842 407684 509605 815368 1019210 1630736 2038420 3261472 4076840 6522944 8153680 16307360 18447701 32614720 36895402 73790804 92238505 147581608 184477010 295163216 368954020 590326432 737908040 1180652864 1475816080 2951632160 5903264320