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47295920 = 245784457
BaseRepresentation
bin1011010001101…
…0110110110000
310021222212210202
42310122312300
544101432140
64405414332
71113002660
oct264326660
9107885722
1047295920
1124774141
1213a0a3a8
139a4c669
1463d21a0
154243915
hex2d1adb0

47295920 has 40 divisors (see below), whose sum is σ = 125673504. Its totient is φ = 16215552.

The previous prime is 47295907. The next prime is 47295929. The reversal of 47295920 is 2959274.

47295920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (47295929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41669 + ... + 42788.

Almost surely, 247295920 is an apocalyptic number.

47295920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47295920 is an abundant number, since it is smaller than the sum of its proper divisors (78377584).

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

47295920 is a wasteful number, since it uses less digits than its factorization.

47295920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84477 (or 84471 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 47295920 is about 6877.2029197923. The cubic root of 47295920 is about 361.6384167684.

The spelling of 47295920 in words is "forty-seven million, two hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 84457 168914 337828 422285 591199 675656 844570 1182398 1351312 1689140 2364796 2955995 3378280 4729592 5911990 6756560 9459184 11823980 23647960 47295920