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5382011250 = 2335471119109
BaseRepresentation
bin1010000001100101…
…01111100101110010
3111220002012111111000
411000302233211302
542010243330000
62250015102430
7250241224620
oct50062574562
914802174430
105382011250
112312006790
121062511a16
1367a042355
14390b02510
15217765000
hex140caf972

5382011250 has 640 divisors, whose sum is σ = 19793664000. Its totient is φ = 1049760000.

The previous prime is 5382011233. The next prime is 5382011267. The reversal of 5382011250 is 521102835.

It is a happy number.

5382011250 is a `hidden beast` number, since 538 + 2 + 0 + 1 + 125 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5382011233) and next prime (5382011267).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 49376196 + ... + 49376304.

It is an arithmetic number, because the mean of its divisors is an integer number (30927600).

Almost surely, 25382011250 is an apocalyptic number.

5382011250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382011250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896832000).

5382011250 is an abundant number, since it is smaller than the sum of its proper divisors (14411652750).

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

5382011250 is a wasteful number, since it uses less digits than its factorization.

5382011250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5382011250 is about 73362.1922382367. The cubic root of 5382011250 is about 1752.4603488648.

The spelling of 5382011250 in words is "five billion, three hundred eighty-two million, eleven thousand, two hundred fifty".