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5258639232 = 27347211941
BaseRepresentation
bin1001110010111000…
…00111011110000000
3111120111001112220000
410321130013132000
541232202423412
62225450520000
7244212460500
oct47134073600
914514045800
105258639232
112259401540
121029136000
1365a607662
1437c589a00
1520b9e54dc
hex139707780

5258639232 has 480 divisors, whose sum is σ = 19880740440. Its totient is φ = 1364428800.

The previous prime is 5258639231. The next prime is 5258639233. The reversal of 5258639232 is 2329368525.

5258639232 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 639 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5258639231) and next prime (5258639233).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258639231) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5587882 + ... + 5588822.

Almost surely, 25258639232 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 5258639232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9940370220).

5258639232 is an abundant number, since it is smaller than the sum of its proper divisors (14622101208).

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

5258639232 is a wasteful number, since it uses less digits than its factorization.

5258639232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 964 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 5258639232 is about 72516.4755900340. The cubic root of 5258639232 is about 1738.9661396947.

It can be divided in two parts, 525863 and 9232, that added together give a triangular number (535095 = T1034).

The spelling of 5258639232 in words is "five billion, two hundred fifty-eight million, six hundred thirty-nine thousand, two hundred thirty-two".