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38136798 = 233732971
BaseRepresentation
bin1001000101111…
…0101111011110
32122202112212000
42101132233132
534230334143
63441223130
7642105000
oct221365736
978675760
1038136798
111a588817
1210931aa6
137b9376b
1450ca370
153534bd3
hex245ebde

38136798 has 128 divisors (see below), whose sum is σ = 103680000. Its totient is φ = 10372320.

The previous prime is 38136793. The next prime is 38136799. The reversal of 38136798 is 89763183.

It is a happy number.

Its product of digits (217728) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38136793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537103 + ... + 537173.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 238136798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38136798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840000).

38136798 is an abundant number, since it is smaller than the sum of its proper divisors (65543202).

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

38136798 is a wasteful number, since it uses less digits than its factorization.

38136798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 38136798 is about 6175.4998178285. The cubic root of 38136798 is about 336.6004886861.

The spelling of 38136798 in words is "thirty-eight million, one hundred thirty-six thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 71 87 98 126 142 147 174 189 203 213 261 294 343 378 406 426 441 497 522 609 639 686 783 882 994 1029 1218 1278 1323 1421 1491 1566 1827 1917 2058 2059 2646 2842 2982 3087 3479 3654 3834 4118 4263 4473 5481 6174 6177 6958 8526 8946 9261 9947 10437 10962 12354 12789 13419 14413 18522 18531 19894 20874 24353 25578 26838 28826 29841 31311 37062 38367 43239 48706 55593 59682 62622 73059 76734 86478 89523 93933 100891 111186 129717 146118 179046 187866 201782 219177 259434 268569 302673 389151 438354 537138 605346 657531 706237 778302 908019 1315062 1412474 1816038 2118711 2724057 4237422 5448114 6356133 12712266 19068399 38136798