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38889000 = 23325329149
BaseRepresentation
bin1001010001011…
…0011000101000
32201011202200100
42110112120220
534423422000
63505305400
7651360003
oct224263050
981152610
1038889000
111aa51977
1211035260
138097c57
14524453a
153632a00
hex2516628

38889000 has 192 divisors, whose sum is σ = 136890000. Its totient is φ = 9945600.

The previous prime is 38888999. The next prime is 38889001. The reversal of 38889000 is 98883.

It is an interprime number because it is at equal distance from previous prime (38888999) and next prime (38889001).

It can be written as a sum of positive squares in 8 ways, for example, as 26244 + 38862756 = 162^2 + 6234^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38889001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260926 + ... + 261074.

Almost surely, 238889000 is an apocalyptic number.

38889000 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 38889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68445000).

38889000 is an abundant number, since it is smaller than the sum of its proper divisors (98001000).

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

38889000 is a wasteful number, since it uses less digits than its factorization.

38889000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 38889000 is about 6236.1045533249. The cubic root of 38889000 is about 338.7991082702.

The spelling of 38889000 in words is "thirty-eight million, eight hundred eighty-nine thousand".