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2438632980 = 223457231991
BaseRepresentation
bin1001000101011010…
…1001011000010100
320021221201101120000
42101112221120110
514443242223410
61041552211300
7114301016100
oct22126513024
96257641500
102438632980
1110415aa063
12580839b30
132cb2c41c4
14191c38900
15e4157dc0
hex915a9614

2438632980 has 360 divisors, whose sum is σ = 9195411456. Its totient is φ = 538876800.

The previous prime is 2438632967. The next prime is 2438632991. The reversal of 2438632980 is 892368342.

2438632980 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 632 + 9 + 8 + 0 = 666.

It is a super-2 number, since 2×24386329802 = 11893861622287360800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2460285 + ... + 2461275.

Almost surely, 22438632980 is an apocalyptic number.

2438632980 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 2438632980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597705728).

2438632980 is an abundant number, since it is smaller than the sum of its proper divisors (6756778476).

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

2438632980 is a wasteful number, since it uses less digits than its factorization.

2438632980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2438632980 is about 49382.5169467900. The cubic root of 2438632980 is about 1346.0116360131.

The spelling of 2438632980 in words is "two billion, four hundred thirty-eight million, six hundred thirty-two thousand, nine hundred eighty".