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38325144 = 23311132859
BaseRepresentation
bin1001001000110…
…0101110011000
32200010010012210
42102030232120
534302401034
63445235120
7643521054
oct222145630
980103183
1038325144
111a6a7280
1210a02aa0
137c2b400
145138c64
1535708e9
hex248cb98

38325144 has 96 divisors (see below), whose sum is σ = 113313600. Its totient is φ = 10707840.

The previous prime is 38325143. The next prime is 38325173. The reversal of 38325144 is 44152383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38325143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44187 + ... + 45045.

It is an arithmetic number, because the mean of its divisors is an integer number (1180350).

Almost surely, 238325144 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 38325144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56656800).

38325144 is an abundant number, since it is smaller than the sum of its proper divisors (74988456).

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

38325144 is a wasteful number, since it uses less digits than its factorization.

38325144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 888 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 38325144 is about 6190.7304900149. The cubic root of 38325144 is about 337.1537013105.

The spelling of 38325144 in words is "thirty-eight million, three hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 286 312 338 429 507 572 676 858 859 1014 1144 1352 1716 1718 1859 2028 2577 3432 3436 3718 4056 5154 5577 6872 7436 9449 10308 11154 11167 14872 18898 20616 22308 22334 28347 33501 37796 44616 44668 56694 67002 75592 89336 113388 122837 134004 145171 226776 245674 268008 290342 368511 435513 491348 580684 737022 871026 982696 1161368 1474044 1596881 1742052 2948088 3193762 3484104 4790643 6387524 9581286 12775048 19162572 38325144