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38483208 = 2333199377
BaseRepresentation
bin1001001011001…
…1010100001000
32200102011001000
42102303110020
534322430313
63452455000
7645046641
oct222632410
980364030
1038483208
111a7a5005
1210a7a460
137c8533a
14517a6c8
1535a2673
hex24b3508

38483208 has 64 divisors (see below), whose sum is σ = 112536000. Its totient is φ = 12151296.

The previous prime is 38483201. The next prime is 38483243. The reversal of 38483208 is 80238483.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (38483201) 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, 585 + ... + 8792.

It is an arithmetic number, because the mean of its divisors is an integer number (1758375).

Almost surely, 238483208 is an apocalyptic number.

38483208 is a gapful number since it is divisible by the number (38) 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 38483208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56268000).

38483208 is an abundant number, since it is smaller than the sum of its proper divisors (74052792).

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

38483208 is a wasteful number, since it uses less digits than its factorization.

38483208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38483208 is about 6203.4835374973. The cubic root of 38483208 is about 337.6165720772.

It can be divided in two parts, 3848 and 3208, that added together give a square (7056 = 842).

The spelling of 38483208 in words is "thirty-eight million, four hundred eighty-three thousand, two hundred eight".

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 9377 18754 28131 37508 56262 75016 84393 112524 168786 178163 225048 253179 337572 356326 506358 534489 675144 712652 1012716 1068978 1425304 1603467 2025432 2137956 3206934 4275912 4810401 6413868 9620802 12827736 19241604 38483208