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38283966 = 23271761293
BaseRepresentation
bin1001001000001…
…0101010111110
32200001000201200
42102002222332
534300041331
63444320330
7643260030
oct222025276
980030650
1038283966
111a679346
12109a30a6
137c15746
145127c50
1535635e6
hex2482abe

38283966 has 96 divisors (see below), whose sum is σ = 102368448. Its totient is φ = 10091520.

The previous prime is 38283943. The next prime is 38283989. The reversal of 38283966 is 66938283.

It is an interprime number because it is at equal distance from previous prime (38283943) and next prime (38283989).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130516 + ... + 130808.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 238283966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38283966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

38283966 is an abundant number, since it is smaller than the sum of its proper divisors (64084482).

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

38283966 is a wasteful number, since it uses less digits than its factorization.

38283966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 383 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 38283966 is about 6187.4038174343. The cubic root of 38283966 is about 337.0329077628.

It can be divided in two parts, 382 and 83966, that added together give a palindrome (84348).

The spelling of 38283966 in words is "thirty-eight million, two hundred eighty-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 61 63 102 119 122 126 153 183 238 293 306 357 366 427 549 586 714 854 879 1037 1071 1098 1281 1758 2051 2074 2142 2562 2637 3111 3843 4102 4981 5274 6153 6222 7259 7686 9333 9962 12306 14518 14943 17873 18459 18666 21777 29886 34867 35746 36918 43554 44829 53619 65331 69734 89658 104601 107238 125111 130662 160857 209202 250222 303841 313803 321714 375333 607682 627606 750666 911523 1125999 1823046 2126887 2251998 2734569 4253774 5469138 6380661 12761322 19141983 38283966