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38942208 = 2935313
BaseRepresentation
bin1001010010001…
…1011000000000
32201021110200000
42110203120000
534432122313
63510400000
7652001064
oct224433000
981243600
1038942208
111aa88948
1211060000
1380b6236
145259aa4
153643673
hex2523600

38942208 has 120 divisors (see below), whose sum is σ = 116924808. Its totient is φ = 12939264.

The previous prime is 38942207. The next prime is 38942249. The reversal of 38942208 is 80224983.

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38942203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124260 + ... + 124572.

Almost surely, 238942208 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 38942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58462404).

38942208 is an abundant number, since it is smaller than the sum of its proper divisors (77982600).

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

38942208 is an frugal number, since it uses more digits than its factorization.

38942208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

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

The square root of 38942208 is about 6240.3692198459. The cubic root of 38942208 is about 338.9535530382.

The spelling of 38942208 in words is "thirty-eight million, nine hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 313 324 384 432 486 512 576 626 648 768 864 939 972 1152 1252 1296 1536 1728 1878 1944 2304 2504 2592 2817 3456 3756 3888 4608 5008 5184 5634 6912 7512 7776 8451 10016 10368 11268 13824 15024 15552 16902 20032 20736 22536 25353 30048 31104 33804 40064 41472 45072 50706 60096 62208 67608 76059 80128 90144 101412 120192 124416 135216 152118 160256 180288 202824 240384 270432 304236 360576 405648 480768 540864 608472 721152 811296 1081728 1216944 1442304 1622592 2163456 2433888 3245184 4326912 4867776 6490368 9735552 12980736 19471104 38942208