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2483412480 = 29335193161
BaseRepresentation
bin1001010000000101…
…1101111000000000
320102001222102111000
42110001131320000
520041223144410
61050232052000
7115353441423
oct22401357000
96361872430
102483412480
11106490460a
12593834000
13307672353
14197b739ba
15e8050dc0
hex9405de00

2483412480 has 640 divisors, whose sum is σ = 9742233600. Its totient is φ = 597196800.

The previous prime is 2483412473. The next prime is 2483412493. The reversal of 2483412480 is 842143842.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 40711650 + ... + 40711710.

It is an arithmetic number, because the mean of its divisors is an integer number (15222240).

Almost surely, 22483412480 is an apocalyptic number.

2483412480 is a gapful number since it is divisible by the number (20) 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 2483412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871116800).

2483412480 is an abundant number, since it is smaller than the sum of its proper divisors (7258821120).

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

2483412480 is a wasteful number, since it uses less digits than its factorization.

2483412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2483412480 is about 49833.8487375800. The cubic root of 2483412480 is about 1354.2004478558.

The spelling of 2483412480 in words is "two billion, four hundred eighty-three million, four hundred twelve thousand, four hundred eighty".