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38850372 = 2232111729199
BaseRepresentation
bin1001010000110…
…0111101000100
32201002210200200
42110030331010
534421202442
63504410500
7651136251
oct224147504
981083620
1038850372
111aa25950
1211016a30
1380834b2
145234428
15362634c
hex250cf44

38850372 has 144 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 10644480.

The previous prime is 38850367. The next prime is 38850373. The reversal of 38850372 is 27305883.

38850372 is a `hidden beast` number, since 3 + 88 + 503 + 72 = 666.

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 (38850373) 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 47 ways as a sum of consecutive naturals, for example, 195129 + ... + 195327.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 238850372 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 38850372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

38850372 is an abundant number, since it is smaller than the sum of its proper divisors (79085628).

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

38850372 is a wasteful number, since it uses less digits than its factorization.

38850372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 38850372 is about 6233.0066581065. The cubic root of 38850372 is about 338.6868960126.

The spelling of 38850372 in words is "thirty-eight million, eight hundred fifty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 29 33 34 36 44 51 58 66 68 87 99 102 116 132 153 174 187 198 199 204 261 306 319 348 374 396 398 493 522 561 597 612 638 748 796 957 986 1044 1122 1194 1276 1479 1683 1791 1914 1972 2189 2244 2388 2871 2958 3366 3383 3582 3828 4378 4437 5423 5742 5771 5916 6567 6732 6766 7164 8756 8874 10149 10846 11484 11542 13134 13532 16269 17313 17748 19701 20298 21692 23084 26268 30447 32538 34626 37213 39402 40596 48807 51939 60894 63481 65076 69252 74426 78804 97614 98107 103878 111639 121788 126962 148852 190443 195228 196214 207756 223278 253924 294321 334917 380886 392428 446556 571329 588642 669834 761772 882963 1079177 1142658 1177284 1339668 1765926 2158354 2285316 3237531 3531852 4316708 6475062 9712593 12950124 19425186 38850372