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47196320 = 255973041
BaseRepresentation
bin1011010000001…
…0100010100000
310021210211011212
42310002202200
544040240240
64403325252
71112106413
oct264024240
9107724155
1047196320
1124706326
1213980828
139a16222
1463a7b7a
154224165
hex2d028a0

47196320 has 48 divisors (see below), whose sum is σ = 112687848. Its totient is φ = 18677760.

The previous prime is 47196313. The next prime is 47196329. The reversal of 47196320 is 2369174.

It can be written as a sum of positive squares in 4 ways, for example, as 45859984 + 1336336 = 6772^2 + 1156^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (47196329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14000 + ... + 17040.

Almost surely, 247196320 is an apocalyptic number.

47196320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56343924).

47196320 is an abundant number, since it is smaller than the sum of its proper divisors (65491528).

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

47196320 is a wasteful number, since it uses less digits than its factorization.

47196320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 47196320 is about 6869.9577873521. The cubic root of 47196320 is about 361.3843814656.

The spelling of 47196320 in words is "forty-seven million, one hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3041 3104 3880 6082 7760 12164 15205 15520 24328 30410 48656 60820 97312 121640 243280 294977 486560 589954 1179908 1474885 2359816 2949770 4719632 5899540 9439264 11799080 23598160 47196320