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4937425632 = 2535371312
BaseRepresentation
bin1001001100100101…
…10010001011100000
3110202002122012200000
410212102302023200
540102440110012
62133534100000
7233232265626
oct44622621340
913662565600
104937425632
112104058a57
12b5964a600
13608bbcc39
1434ba53516
151dd6e5ddc
hex1264b22e0

4937425632 has 216 divisors, whose sum is σ = 15069396888. Its totient is φ = 1589103360.

The previous prime is 4937425631. The next prime is 4937425639. The reversal of 4937425632 is 2365247394.

4937425632 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 4 + 2 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (1088640) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4937425631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37690207 + ... + 37690337.

Almost surely, 24937425632 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 4937425632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534698444).

4937425632 is an abundant number, since it is smaller than the sum of its proper divisors (10131971256).

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

4937425632 is an equidigital number, since it uses as much as digits as its factorization.

4937425632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 173 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 4937425632 is about 70266.8174318433. The cubic root of 4937425632 is about 1702.8126026538.

The spelling of 4937425632 in words is "four billion, nine hundred thirty-seven million, four hundred twenty-five thousand, six hundred thirty-two".