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38426720 = 255376491
BaseRepresentation
bin1001001010010…
…1100001100000
32200022021112212
42102211201200
534314123340
63451341252
7644423153
oct222454140
980267485
1038426720
111a766622
1210a51828
137c65707
145163c9a
153590a65
hex24a5860

38426720 has 48 divisors (see below), whose sum is σ = 93251088. Its totient is φ = 14952960.

The previous prime is 38426699. The next prime is 38426723. The reversal of 38426720 is 2762483.

It is a super-2 number, since 2×384267202 = 2953225619916800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38426723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2675 + ... + 9165.

It is an arithmetic number, because the mean of its divisors is an integer number (1942731).

Almost surely, 238426720 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 38426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46625544).

38426720 is an abundant number, since it is smaller than the sum of its proper divisors (54824368).

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

38426720 is a wasteful number, since it uses less digits than its factorization.

38426720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38426720 is about 6198.9289397443. The cubic root of 38426720 is about 337.4512997860.

The spelling of 38426720 in words is "thirty-eight million, four hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 6491 12982 25964 32455 51928 64910 103856 129820 207712 240167 259640 480334 519280 960668 1038560 1200835 1921336 2401670 3842672 4803340 7685344 9606680 19213360 38426720