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38702112 = 253596833
BaseRepresentation
bin1001001110100…
…0110000100000
32200211021022120
42103220300200
534401431422
63501304240
7646651101
oct223506040
980737276
1038702112
111a934519
1210b65080
138030b77
1451d63a8
1535e745c
hex24e8c20

38702112 has 48 divisors (see below), whose sum is σ = 103330080. Its totient is φ = 12680192.

The previous prime is 38702101. The next prime is 38702119. The reversal of 38702112 is 21120783.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (38702119) 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, 2248 + ... + 9080.

It is an arithmetic number, because the mean of its divisors is an integer number (2152710).

Almost surely, 238702112 is an apocalyptic number.

38702112 is a gapful number since it is divisible by the number (32) 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 38702112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51665040).

38702112 is an abundant number, since it is smaller than the sum of its proper divisors (64627968).

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

38702112 is a wasteful number, since it uses less digits than its factorization.

38702112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 38702112 is about 6221.1021531558. The cubic root of 38702112 is about 338.2555167899.

Adding to 38702112 its reverse (21120783), we get a palindrome (59822895).

The spelling of 38702112 in words is "thirty-eight million, seven hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 6833 13666 20499 27332 40998 54664 81996 109328 163992 218656 327984 403147 655968 806294 1209441 1612588 2418882 3225176 4837764 6450352 9675528 12900704 19351056 38702112