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5038705152 = 293213192233
BaseRepresentation
bin1001011000101010…
…01000101000000000
3111000011012202001100
410230111020220000
540304402031102
62151552534400
7235602200325
oct45425105000
914004182040
105038705152
112156243838
12b87551400
13623b90c50
1435b298b4c
151e754ea1c
hex12c548a00

5038705152 has 360 divisors, whose sum is σ = 16599226644. Its totient is φ = 1462468608.

The previous prime is 5038705121. The next prime is 5038705159. The reversal of 5038705152 is 2515078305.

It can be written as a sum of positive squares in 2 ways, for example, as 4432363776 + 606341376 = 66576^2 + 24624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5038705159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21625228 + ... + 21625460.

Almost surely, 25038705152 is an apocalyptic number.

5038705152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5038705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299613322).

5038705152 is an abundant number, since it is smaller than the sum of its proper divisors (11560521492).

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

5038705152 is a wasteful number, since it uses less digits than its factorization.

5038705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5038705152 is about 70983.8372589141. The cubic root of 5038705152 is about 1714.3769353363.

The spelling of 5038705152 in words is "five billion, thirty-eight million, seven hundred five thousand, one hundred fifty-two".