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4752630432 = 25321117229179
BaseRepresentation
bin1000110110100011…
…10110001010100000
3110021012220122022100
410123101312022200
534213133133212
62103333210400
7225526456254
oct43321661240
913235818270
104752630432
112019810650
12b07790a00
135a982a574
143312ac264
151cc391bdc
hex11b4762a0

4752630432 has 432 divisors, whose sum is σ = 16292858400. Its totient is φ = 1301422080.

The previous prime is 4752630431. The next prime is 4752630433. The reversal of 4752630432 is 2340362574.

It is an interprime number because it is at equal distance from previous prime (4752630431) and next prime (4752630433).

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

It is not an unprimeable number, because it can be changed into a prime (4752630431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26550919 + ... + 26551097.

It is an arithmetic number, because the mean of its divisors is an integer number (37714950).

Almost surely, 24752630432 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 4752630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146429200).

4752630432 is an abundant number, since it is smaller than the sum of its proper divisors (11540227968).

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

4752630432 is a wasteful number, since it uses less digits than its factorization.

4752630432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4752630432 is about 68939.3242786728. The cubic root of 4752630432 is about 1681.2979425492.

The spelling of 4752630432 in words is "four billion, seven hundred fifty-two million, six hundred thirty thousand, four hundred thirty-two".