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38454912 = 27343709
BaseRepresentation
bin1001001010110…
…0011010000000
32200100201020000
42102230122000
534321024122
63452120000
7644601306
oct222543200
980321200
1038454912
111a785821
1210a66000
137c754b2
145170276
1535990ac
hex24ac680

38454912 has 80 divisors (see below), whose sum is σ = 114472050. Its totient is φ = 12814848.

The previous prime is 38454907. The next prime is 38454931. The reversal of 38454912 is 21945483.

It can be written as a sum of positive squares in only one way, i.e., 35712576 + 2742336 = 5976^2 + 1656^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8514 + ... + 12222.

Almost surely, 238454912 is an apocalyptic number.

38454912 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 38454912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57236025).

38454912 is an abundant number, since it is smaller than the sum of its proper divisors (76017138).

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

38454912 is an equidigital number, since it uses as much as digits as its factorization.

38454912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3714 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38454912 is about 6201.2024640387. The cubic root of 38454912 is about 337.5338040215.

The spelling of 38454912 in words is "thirty-eight million, four hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 3709 5184 7418 10368 11127 14836 22254 29672 33381 44508 59344 66762 89016 100143 118688 133524 178032 200286 237376 267048 300429 356064 400572 474752 534096 600858 712128 801144 1068192 1201716 1424256 1602288 2136384 2403432 3204576 4272768 4806864 6409152 9613728 12818304 19227456 38454912