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38752344 = 233479757
BaseRepresentation
bin1001001111010…
…1000001011000
32200220211020000
42103311001120
534410033334
63502333000
7650250411
oct223650130
980824200
1038752344
111a969234
1210b8a160
13804a9a7
14520a808
153607299
hex24f5058

38752344 has 80 divisors (see below), whose sum is σ = 110061600. Its totient is φ = 12737088.

The previous prime is 38752313. The next prime is 38752349. The reversal of 38752344 is 44325783.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 38752299 and 38752308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38752349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50814 + ... + 51570.

It is an arithmetic number, because the mean of its divisors is an integer number (1375770).

Almost surely, 238752344 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 38752344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55030800).

38752344 is an abundant number, since it is smaller than the sum of its proper divisors (71309256).

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

38752344 is a wasteful number, since it uses less digits than its factorization.

38752344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 841 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 38752344 is about 6225.1380707579. The cubic root of 38752344 is about 338.4017956748.

The spelling of 38752344 in words is "thirty-eight million, seven hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 757 948 1422 1514 1896 2133 2271 2844 3028 4266 4542 5688 6056 6399 6813 8532 9084 12798 13626 17064 18168 20439 25596 27252 40878 51192 54504 59803 61317 81756 119606 122634 163512 179409 239212 245268 358818 478424 490536 538227 717636 1076454 1435272 1614681 2152908 3229362 4305816 4844043 6458724 9688086 12917448 19376172 38752344