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988289640 = 2333513431637
BaseRepresentation
bin111010111010000…
…001101001101000
32112212122022112000
4322322001221220
54011000232030
6242022251000
733330215622
oct7272015150
92485568460
10988289640
114679556a8
12236b86a60
13129999c90
149537dc12
155bb6b860
hex3ae81a68

988289640 has 256 divisors, whose sum is σ = 3632428800. Its totient is φ = 237468672.

The previous prime is 988289629. The next prime is 988289651. The reversal of 988289640 is 46982889.

It is an interprime number because it is at equal distance from previous prime (988289629) and next prime (988289651).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602902 + ... + 604538.

It is an arithmetic number, because the mean of its divisors is an integer number (14189175).

Almost surely, 2988289640 is an apocalyptic number.

988289640 is a gapful number since it is divisible by the number (90) 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 988289640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

988289640 is an abundant number, since it is smaller than the sum of its proper divisors (2644139160).

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

988289640 is a wasteful number, since it uses less digits than its factorization.

988289640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 988289640 is about 31437.0742913522. The cubic root of 988289640 is about 996.0812098103.

The spelling of 988289640 in words is "nine hundred eighty-eight million, two hundred eighty-nine thousand, six hundred forty".