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38057216 = 28473163
BaseRepresentation
bin1001000100101…
…1010100000000
32122121111200112
42101023110000
534220312331
63435410452
7641323661
oct221132400
978544615
1038057216
111a533a4a
12108b3a28
137b66482
1450a9368
15351b32b
hex244b500

38057216 has 36 divisors (see below), whose sum is σ = 77606592. Its totient is φ = 18617856.

The previous prime is 38057213. The next prime is 38057219. The reversal of 38057216 is 61275083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38057213) and next prime (38057219).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38057213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10451 + ... + 13613.

Almost surely, 238057216 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 38057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38803296).

38057216 is an abundant number, since it is smaller than the sum of its proper divisors (39549376).

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

38057216 is an equidigital number, since it uses as much as digits as its factorization.

38057216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 38057216 is about 6169.0530877923. The cubic root of 38057216 is about 336.3661918393.

The spelling of 38057216 in words is "thirty-eight million, fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 3008 3163 6016 6326 12032 12652 25304 50608 101216 148661 202432 297322 404864 594644 809728 1189288 2378576 4757152 9514304 19028608 38057216