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38989440 = 273257967
BaseRepresentation
bin1001010010111…
…0111010000000
32201100212110100
42110232322000
534440130230
63511402400
7652255560
oct224567200
981325410
1038989440
1120010386
1211083400
138101899
14526cda0
153652660
hex252ee80

38989440 has 192 divisors, whose sum is σ = 154028160. Its totient is φ = 8902656.

The previous prime is 38989429. The next prime is 38989451. The reversal of 38989440 is 4498983.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38989429) and next prime (38989451).

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 39837 + ... + 40803.

It is an arithmetic number, because the mean of its divisors is an integer number (802230).

Almost surely, 238989440 is an apocalyptic number.

38989440 is a gapful number since it is divisible by the number (30) 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 38989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77014080).

38989440 is an abundant number, since it is smaller than the sum of its proper divisors (115038720).

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

38989440 is a wasteful number, since it uses less digits than its factorization.

38989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38989440 is about 6244.1524645063. The cubic root of 38989440 is about 339.0905336813.

The spelling of 38989440 in words is "thirty-eight million, nine hundred eighty-nine thousand, four hundred forty".