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38182240 = 255238639
BaseRepresentation
bin1001000110100…
…1110101100000
32122211212012001
42101221311200
534233312430
63442213344
7642354325
oct221516540
978755161
1038182240
111a609978
1210954254
137bab355
1450dcb4c
1535433ca
hex2469d60

38182240 has 24 divisors (see below), whose sum is σ = 90205920. Its totient is φ = 15272832.

The previous prime is 38182223. The next prime is 38182253. The reversal of 38182240 is 4228183.

It is a junction number, because it is equal to n+sod(n) for n = 38182199 and 38182208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119160 + ... + 119479.

It is an arithmetic number, because the mean of its divisors is an integer number (3758580).

Almost surely, 238182240 is an apocalyptic number.

It is an amenable number.

38182240 is an abundant number, since it is smaller than the sum of its proper divisors (52023680).

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

38182240 is a wasteful number, since it uses less digits than its factorization.

38182240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238654 (or 238646 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 38182240 is about 6179.1779388524. The cubic root of 38182240 is about 336.7341280141.

It can be divided in two parts, 381 and 82240, that added together give a triangular number (82621 = T406).

The spelling of 38182240 in words is "thirty-eight million, one hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 238639 477278 954556 1193195 1909112 2386390 3818224 4772780 7636448 9545560 19091120 38182240