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38292016 = 247437951
BaseRepresentation
bin1001001000010…
…0101000110000
32200001102202211
42102010220300
534300321031
63444421504
7643322350
oct222045060
980042684
1038292016
111a6843a4
12109a7894
137c192c9
14512ab60
153565bb1
hex2484a30

38292016 has 40 divisors (see below), whose sum is σ = 86772224. Its totient is φ = 16027200.

The previous prime is 38291969. The next prime is 38292019. The reversal of 38292016 is 61029283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38292019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 8791.

Almost surely, 238292016 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 38292016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43386112).

38292016 is an abundant number, since it is smaller than the sum of its proper divisors (48480208).

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

38292016 is a wasteful number, since it uses less digits than its factorization.

38292016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8009 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 38292016 is about 6188.0542984043. The cubic root of 38292016 is about 337.0565288332.

The spelling of 38292016 in words is "thirty-eight million, two hundred ninety-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 7951 15902 31804 55657 63608 111314 127216 222628 341893 445256 683786 890512 1367572 2393251 2735144 4786502 5470288 9573004 19146008 38292016