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2481311232 = 2934194767
BaseRepresentation
bin1001001111100101…
…1100111000000000
320101221000200010000
42103321130320000
520040203424412
61050115040000
7115326540351
oct22371347000
96357020100
102481311232
1110636a9944
12592ba0000
133070b7aca
14197787d28
15e7c884dc
hex93e5ce00

2481311232 has 400 divisors, whose sum is σ = 8080554240. Its totient is φ = 755453952.

The previous prime is 2481311221. The next prime is 2481311249. The reversal of 2481311232 is 2321131842.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2481311196 and 2481311205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37034463 + ... + 37034529.

Almost surely, 22481311232 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 2481311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040277120).

2481311232 is an abundant number, since it is smaller than the sum of its proper divisors (5599243008).

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

2481311232 is an equidigital number, since it uses as much as digits as its factorization.

2481311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2481311232 is about 49812.7617383337. The cubic root of 2481311232 is about 1353.8184044747.

The spelling of 2481311232 in words is "two billion, four hundred eighty-one million, three hundred eleven thousand, two hundred thirty-two".