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1988029440 = 21033573197
BaseRepresentation
bin111011001111110…
…1110110000000000
312010112211100201000
41312133232300000
513032413420230
6525134212000
7100156654125
oct16637566000
95115740630
101988029440
11930210a41
12475954000
13258b458a7
1414c06074c
15b97eab60
hex767eec00

1988029440 has 352 divisors, whose sum is σ = 7198234560. Its totient is φ = 520224768.

The previous prime is 1988029423. The next prime is 1988029447. The reversal of 1988029440 is 449208891.

It is a super-2 number, since 2×19880294402 = 7904522108613427200, 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 not an unprimeable number, because it can be changed into a prime (1988029447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10091422 + ... + 10091618.

It is an arithmetic number, because the mean of its divisors is an integer number (20449530).

Almost surely, 21988029440 is an apocalyptic number.

1988029440 is a gapful number since it is divisible by the number (10) 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 1988029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599117280).

1988029440 is an abundant number, since it is smaller than the sum of its proper divisors (5210205120).

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

1988029440 is a wasteful number, since it uses less digits than its factorization.

1988029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1988029440 is about 44587.3237591134. The cubic root of 1988029440 is about 1257.4023580788.

The spelling of 1988029440 in words is "one billion, nine hundred eighty-eight million, twenty-nine thousand, four hundred forty".