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4931297280 = 2133357313
BaseRepresentation
bin1001001011110110…
…11010000000000000
3110201200002212011000
410211323122000000
540044403003110
62133154452000
7233126223000
oct44573320000
913650085130
104931297280
1121006526a8
12b57594000
136078556b0
1434acda000
151dcdd51c0
hex125eda000

4931297280 has 896 divisors, whose sum is σ = 22018752000. Its totient is φ = 1040449536.

The previous prime is 4931297269. The next prime is 4931297281. The reversal of 4931297280 is 827921394.

4931297280 is a `hidden beast` number, since 493 + 12 + 9 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4931297281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379330554 + ... + 379330566.

It is an arithmetic number, because the mean of its divisors is an integer number (24574500).

Almost surely, 24931297280 is an apocalyptic number.

4931297280 is a gapful number since it is divisible by the number (40) 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 4931297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11009376000).

4931297280 is an abundant number, since it is smaller than the sum of its proper divisors (17087454720).

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

4931297280 is an equidigital number, since it uses as much as digits as its factorization.

4931297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4931297280 is about 70223.1961676482. The cubic root of 4931297280 is about 1702.1077984179.

The spelling of 4931297280 in words is "four billion, nine hundred thirty-one million, two hundred ninety-seven thousand, two hundred eighty".