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38967740 = 22572172339
BaseRepresentation
bin1001010010100…
…1100110111100
32201022202200122
42110221212330
534433431430
63511114112
7652135400
oct224514674
981282618
1038967740
111aaa6049
1211072938
1380c4a46
145265100
15364aee5
hex25299bc

38967740 has 72 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 12569088.

The previous prime is 38967737. The next prime is 38967743. The reversal of 38967740 is 4776983.

38967740 = 15062 + 15072 + ... + 15222.

38967740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38967737) and next prime (38967743).

It is a junction number, because it is equal to n+sod(n) for n = 38967691 and 38967700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38967743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15491 + ... + 17829.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 238967740 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 38967740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

38967740 is an abundant number, since it is smaller than the sum of its proper divisors (61867540).

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

38967740 is a wasteful number, since it uses less digits than its factorization.

38967740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 38967740 is about 6242.4145969328. The cubic root of 38967740 is about 339.0276138231.

The spelling of 38967740 in words is "thirty-eight million, nine hundred sixty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2339 2380 3332 4165 4678 8330 9356 11695 16373 16660 23390 32746 39763 46780 65492 79526 81865 114611 159052 163730 198815 229222 278341 327460 397630 458444 556682 573055 795260 1113364 1146110 1391705 1948387 2292220 2783410 3896774 5566820 7793548 9741935 19483870 38967740