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38470272 = 273100183
BaseRepresentation
bin1001001011000…
…0001010000000
32200101111021220
42102300022000
534322022042
63452315040
7644664141
oct222601200
980344256
1038470272
111a796315
1210a72a80
137c7c499
145175ac8
15359d8ec
hex24b0280

38470272 has 32 divisors (see below), whose sum is σ = 102187680. Its totient is φ = 12823296.

The previous prime is 38470253. The next prime is 38470279. The reversal of 38470272 is 27207483.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (38470279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49708 + ... + 50475.

It is an arithmetic number, because the mean of its divisors is an integer number (3193365).

Almost surely, 238470272 is an apocalyptic number.

38470272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38470272 is an abundant number, since it is smaller than the sum of its proper divisors (63717408).

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

38470272 is a wasteful number, since it uses less digits than its factorization.

38470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100200 (or 100188 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 38470272 is about 6202.4408098748. The cubic root of 38470272 is about 337.5787382820.

The spelling of 38470272 in words is "thirty-eight million, four hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 100183 200366 300549 400732 601098 801464 1202196 1602928 2404392 3205856 4808784 6411712 9617568 12823424 19235136 38470272