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38249064 = 2333741617
BaseRepresentation
bin1001000111101…
…0001001101000
32122222020212000
42101322021220
534242432224
63443451000
7643053210
oct221721150
978866760
1038249064
111a6550a7
1210986a60
137c028a9
145119240
1535580c9
hex247a268

38249064 has 128 divisors (see below), whose sum is σ = 124588800. Its totient is φ = 10644480.

The previous prime is 38249039. The next prime is 38249077. The reversal of 38249064 is 46094283.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61684 + ... + 62300.

It is an arithmetic number, because the mean of its divisors is an integer number (973350).

Almost surely, 238249064 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 38249064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62294400).

38249064 is an abundant number, since it is smaller than the sum of its proper divisors (86339736).

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

38249064 is a wasteful number, since it uses less digits than its factorization.

38249064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38249064 is about 6184.5827668485. The cubic root of 38249064 is about 336.9304566999.

The spelling of 38249064 in words is "thirty-eight million, two hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 617 738 756 861 984 1107 1148 1234 1476 1512 1722 1851 2214 2296 2468 2583 2952 3444 3702 4319 4428 4936 5166 5553 6888 7404 7749 8638 8856 10332 11106 12957 14808 15498 16659 17276 20664 22212 25297 25914 30996 33318 34552 38871 44424 50594 51828 61992 66636 75891 77742 101188 103656 116613 133272 151782 155484 177079 202376 227673 233226 303564 310968 354158 455346 466452 531237 607128 683019 708316 910692 932904 1062474 1366038 1416632 1593711 1821384 2124948 2732076 3187422 4249896 4781133 5464152 6374844 9562266 12749688 19124532 38249064