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38145450 = 23527172137
BaseRepresentation
bin1001000110000…
…0110110101010
32122202222201110
42101200312222
534231123300
63441331150
7642142140
oct221406652
978688643
1038145450
111a594272
1210936ab6
137b97695
1450cd590
153537550
hex2460daa

38145450 has 96 divisors (see below), whose sum is σ = 114528384. Its totient is φ = 8202240.

The previous prime is 38145449. The next prime is 38145461. The reversal of 38145450 is 5454183.

38145450 = 102 + 112 + ... + 4852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16782 + ... + 18918.

It is an arithmetic number, because the mean of its divisors is an integer number (1193004).

Almost surely, 238145450 is an apocalyptic number.

38145450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38145450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57264192).

38145450 is an abundant number, since it is smaller than the sum of its proper divisors (76382934).

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

38145450 is a wasteful number, since it uses less digits than its factorization.

38145450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 38145450 is about 6176.2002882031. The cubic root of 38145450 is about 336.6259413318.

The spelling of 38145450 in words is "thirty-eight million, one hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 50 51 70 75 85 102 105 119 150 170 175 210 238 255 350 357 425 510 525 595 714 850 1050 1190 1275 1785 2137 2550 2975 3570 4274 5950 6411 8925 10685 12822 14959 17850 21370 29918 32055 36329 44877 53425 64110 72658 74795 89754 106850 108987 149590 160275 181645 217974 224385 254303 320550 363290 373975 448770 508606 544935 747950 762909 908225 1089870 1121925 1271515 1525818 1816450 2243850 2543030 2724675 3814545 5449350 6357575 7629090 12715150 19072725 38145450