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2464230912 = 29311132863
BaseRepresentation
bin1001001011100001…
…0010111000000000
320100201212220022120
42102320102320000
520021320342122
61044305004240
7115031421453
oct22270227000
96321786276
102464230912
111054aa3180
12589323680
133036b7600
141953bd49a
15e651275c
hex92e12e00

2464230912 has 240 divisors, whose sum is σ = 7763931648. Its totient is φ = 688496640.

The previous prime is 2464230893. The next prime is 2464230917. The reversal of 2464230912 is 2190324642.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464230917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2854993 + ... + 2855855.

Almost surely, 22464230912 is an apocalyptic number.

2464230912 is a gapful number since it is divisible by the number (22) 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 2464230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881965824).

2464230912 is an abundant number, since it is smaller than the sum of its proper divisors (5299700736).

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

2464230912 is a wasteful number, since it uses less digits than its factorization.

2464230912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2464230912 is about 49641.0204568762. The cubic root of 2464230912 is about 1350.7048741504.

The spelling of 2464230912 in words is "two billion, four hundred sixty-four million, two hundred thirty thousand, nine hundred twelve".