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47942208 = 263283233
BaseRepresentation
bin1011011011100…
…0101001000000
310100012201100100
42312320221000
544233122313
64431322400
71121334126
oct266705100
9110181310
1047942208
1125075766
1214080400
139c17892
14651d916
154320173
hex2db8a40

47942208 has 42 divisors (see below), whose sum is σ = 137419334. Its totient is φ = 15980544.

The previous prime is 47942203. The next prime is 47942221. The reversal of 47942208 is 80224974.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 166464 = 6912^2 + 408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47942203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 41041 + ... + 42192.

Almost surely, 247942208 is an apocalyptic number.

47942208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47942208 is an abundant number, since it is smaller than the sum of its proper divisors (89477126).

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

47942208 is a wasteful number, since it uses less digits than its factorization.

47942208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83251 (or 83238 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47942208 is about 6924.0311957703. The cubic root of 47942208 is about 363.2782057782.

The spelling of 47942208 in words is "forty-seven million, nine hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 83233 166466 249699 332932 499398 665864 749097 998796 1331728 1498194 1997592 2663456 2996388 3995184 5326912 5992776 7990368 11985552 15980736 23971104 47942208