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38901816 = 2333199479
BaseRepresentation
bin1001010001100…
…1100000111000
32201012102021000
42110121200320
534424324231
63505445000
7651442242
oct224314070
981172230
1038901816
111aa60568
1211040760
1380a0a35
145249092
1536366e6
hex2519838

38901816 has 64 divisors (see below), whose sum is σ = 113760000. Its totient is φ = 12283488.

The previous prime is 38901803. The next prime is 38901817. The reversal of 38901816 is 61810983.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38901817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636 + ... + 8843.

It is an arithmetic number, because the mean of its divisors is an integer number (1777500).

Almost surely, 238901816 is an apocalyptic number.

38901816 is a gapful number since it is divisible by the number (36) 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 38901816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56880000).

38901816 is an abundant number, since it is smaller than the sum of its proper divisors (74858184).

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

38901816 is a wasteful number, since it uses less digits than its factorization.

38901816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 38901816 is about 6237.1320332345. The cubic root of 38901816 is about 338.8363216422.

The spelling of 38901816 in words is "thirty-eight million, nine hundred one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 9479 18958 28437 37916 56874 75832 85311 113748 170622 180101 227496 255933 341244 360202 511866 540303 682488 720404 1023732 1080606 1440808 1620909 2047464 2161212 3241818 4322424 4862727 6483636 9725454 12967272 19450908 38901816