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38494008 = 2333723637
BaseRepresentation
bin1001001011010…
…1111100111000
32200102200212000
42102311330320
534323302013
63453021000
7645123300
oct222657470
980380760
1038494008
111a802133
1210a84760
137c8a227
145180600
1535a5973
hex24b5f38

38494008 has 96 divisors (see below), whose sum is σ = 124419600. Its totient is φ = 10995264.

The previous prime is 38493947. The next prime is 38494009. The reversal of 38494008 is 80049483.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38494009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8766 + ... + 12402.

Almost surely, 238494008 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 38494008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62209800).

38494008 is an abundant number, since it is smaller than the sum of its proper divisors (85925592).

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

38494008 is a wasteful number, since it uses less digits than its factorization.

38494008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38494008 is about 6204.3539550867. The cubic root of 38494008 is about 337.6481522401.

The spelling of 38494008 in words is "thirty-eight million, four hundred ninety-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 3637 5292 7274 10584 10911 14548 21822 25459 29096 32733 43644 50918 65466 76377 87288 98199 101836 130932 152754 178213 196398 203672 229131 261864 305508 356426 392796 458262 534639 611016 687393 712852 785592 916524 1069278 1374786 1425704 1603917 1833048 2138556 2749572 3207834 4277112 4811751 5499144 6415668 9623502 12831336 19247004 38494008