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38199420 = 22325726171
BaseRepresentation
bin1001000110111…
…0000001111100
32122212201202100
42101232001330
534234340140
63442425100
7642455400
oct221560174
978781670
1038199420
111a620876
1210962190
137bb610c
145105100
153548530
hex246e07c

38199420 has 216 divisors, whose sum is σ = 138928608. Its totient is φ = 8467200.

The previous prime is 38199419. The next prime is 38199431. The reversal of 38199420 is 2499183.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537985 + ... + 538055.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 238199420 is an apocalyptic number.

38199420 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 38199420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

38199420 is an abundant number, since it is smaller than the sum of its proper divisors (100729188).

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

38199420 is a wasteful number, since it uses less digits than its factorization.

38199420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 38199420 is about 6180.5679350688. The cubic root of 38199420 is about 336.7846246576.

The spelling of 38199420 in words is "thirty-eight million, one hundred ninety-nine thousand, four hundred twenty".