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38414250 = 234537271
BaseRepresentation
bin1001001010001…
…0011110101010
32200021122110000
42102202132222
534313224000
63451203430
7644341620
oct222423652
980248400
1038414250
111a758216
1210a46576
137c5cb34
14515d510
15358c000
hex24a27aa

38414250 has 160 divisors (see below), whose sum is σ = 123222528. Its totient is φ = 8748000.

The previous prime is 38414221. The next prime is 38414263. The reversal of 38414250 is 5241483.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141615 + ... + 141885.

Almost surely, 238414250 is an apocalyptic number.

38414250 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 38414250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61611264).

38414250 is an abundant number, since it is smaller than the sum of its proper divisors (84808278).

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

38414250 is a wasteful number, since it uses less digits than its factorization.

38414250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 38414250 is about 6197.9230392124. The cubic root of 38414250 is about 337.4147933050.

The spelling of 38414250 in words is "thirty-eight million, four hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 125 126 135 150 162 175 189 210 225 250 270 271 315 350 375 378 405 450 525 542 567 630 675 750 810 813 875 945 1050 1125 1134 1350 1355 1575 1626 1750 1890 1897 2025 2250 2439 2625 2710 2835 3150 3375 3794 4050 4065 4725 4878 5250 5670 5691 6750 6775 7317 7875 8130 9450 9485 10125 11382 12195 13550 14175 14634 15750 17073 18970 20250 20325 21951 23625 24390 28350 28455 33875 34146 36585 40650 43902 47250 47425 51219 56910 60975 67750 70875 73170 85365 94850 101625 102438 109755 121950 141750 142275 153657 170730 182925 203250 219510 237125 256095 284550 304875 307314 365850 426825 474250 512190 548775 609750 711375 768285 853650 914625 1097550 1280475 1422750 1536570 1829250 2134125 2560950 2743875 3841425 4268250 5487750 6402375 7682850 12804750 19207125 38414250