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38118276 = 223476
BaseRepresentation
bin1001000101101…
…0001110000100
32122201121110000
42101122032010
534224241101
63441001300
7642000000
oct221321604
978647400
1038118276
111a575909
1210923230
137b881c1
1450c3700
15352e486
hex245a384

38118276 has 105 divisors (see below), whose sum is σ = 116256679. Its totient is φ = 10890936.

The previous prime is 38118263. The next prime is 38118293. The reversal of 38118276 is 67281183.

The square root of 38118276 is 6174.

It is a perfect power (a square), and thus also a powerful number.

38118276 is a `hidden beast` number, since 381 + 1 + 8 + 276 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (16128) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 38118276.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 5445465 + ... + 5445471.

Almost surely, 238118276 is an apocalyptic number.

38118276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38118276 is the 6174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38118276

38118276 is an abundant number, since it is smaller than the sum of its proper divisors (78138403).

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

38118276 is an frugal number, since it uses more digits than its factorization.

38118276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 12 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The cubic root of 38118276 is about 336.5459873107.

Multiplying 38118276 by its sum of digits (36), we get a square (1372257936 = 370442).

38118276 divided by its sum of digits (36) gives a square (1058841 = 10292).

The spelling of 38118276 in words is "thirty-eight million, one hundred eighteen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 343 378 441 567 588 686 756 882 1029 1134 1323 1372 1764 2058 2268 2401 2646 3087 3969 4116 4802 5292 6174 7203 7938 9261 9604 12348 14406 15876 16807 18522 21609 27783 28812 33614 37044 43218 50421 55566 64827 67228 86436 100842 111132 117649 129654 151263 194481 201684 235298 259308 302526 352947 388962 453789 470596 605052 705894 777924 907578 1058841 1361367 1411788 1815156 2117682 2722734 3176523 4235364 5445468 6353046 9529569 12706092 19059138 38118276