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38390112 = 25354937
BaseRepresentation
bin1001001001110…
…0100101100000
32200020102100000
42102130211200
534311440422
63450500000
7644211345
oct222344540
980212300
1038390112
111a741072
1210a34600
137c51b57
1451547cc
153584cac
hex249c960

38390112 has 72 divisors (see below), whose sum is σ = 113238216. Its totient is φ = 12794112.

The previous prime is 38390087. The next prime is 38390137. The reversal of 38390112 is 21109383.

It is an interprime number because it is at equal distance from previous prime (38390087) and next prime (38390137).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5308 + ... + 10244.

It is an arithmetic number, because the mean of its divisors is an integer number (1572753).

Almost surely, 238390112 is an apocalyptic number.

38390112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56619108).

38390112 is an abundant number, since it is smaller than the sum of its proper divisors (74848104).

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

38390112 is an equidigital number, since it uses as much as digits as its factorization.

38390112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 38390112 is about 6195.9754679953. The cubic root of 38390112 is about 337.3441057800.

Adding to 38390112 its reverse (21109383), we get a palindrome (59499495).

The spelling of 38390112 in words is "thirty-eight million, three hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 4937 7776 9874 14811 19748 29622 39496 44433 59244 78992 88866 118488 133299 157984 177732 236976 266598 355464 399897 473952 533196 710928 799794 1066392 1199691 1421856 1599588 2132784 2399382 3199176 4265568 4798764 6398352 9597528 12796704 19195056 38390112