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38377248 = 25371323191
BaseRepresentation
bin1001001001100…
…1011100100000
32200012202200120
42102121130200
534311032443
63450320240
7644126010
oct222313440
980182616
1038377248
111a732438
1210a29080
137c49040
14514dc40
153581083
hex2499720

38377248 has 192 divisors, whose sum is σ = 130056192. Its totient is φ = 9630720.

The previous prime is 38377201. The next prime is 38377253. The reversal of 38377248 is 84277383.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200833 + ... + 201023.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 238377248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38377248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

38377248 is an abundant number, since it is smaller than the sum of its proper divisors (91678944).

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

38377248 is a wasteful number, since it uses less digits than its factorization.

38377248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 38377248 is about 6194.9372878182. The cubic root of 38377248 is about 337.3064217761.

The spelling of 38377248 in words is "thirty-eight million, three hundred seventy-seven thousand, two hundred forty-eight".