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38362740 = 223513137359
BaseRepresentation
bin1001001001010…
…1111001110100
32200012000210020
42102111321310
534310101430
63450125140
7644035503
oct222257164
980160706
1038362740
111a722549
1210a207b0
137c42560
14514883a
15357bb10
hex2495e74

38362740 has 96 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 9348096.

The previous prime is 38362721. The next prime is 38362777. The reversal of 38362740 is 4726383.

38362740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 106681 + ... + 107039.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 238362740 is an apocalyptic number.

38362740 is a gapful number since it is divisible by the number (30) 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 38362740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

38362740 is an abundant number, since it is smaller than the sum of its proper divisors (78484620).

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

38362740 is a wasteful number, since it uses less digits than its factorization.

38362740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 38362740 is about 6193.7662209677. The cubic root of 38362740 is about 337.2639117074.

The spelling of 38362740 in words is "thirty-eight million, three hundred sixty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 137 156 195 260 274 359 390 411 548 685 718 780 822 1077 1370 1436 1644 1781 1795 2055 2154 2740 3562 3590 4110 4308 4667 5343 5385 7124 7180 8220 8905 9334 10686 10770 14001 17810 18668 21372 21540 23335 26715 28002 35620 46670 49183 53430 56004 70005 93340 98366 106860 140010 147549 196732 245915 280020 295098 491830 590196 639379 737745 983660 1278758 1475490 1918137 2557516 2950980 3196895 3836274 6393790 7672548 9590685 12787580 19181370 38362740