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47472948 = 223253139179
BaseRepresentation
bin1011010100011…
…0000100110100
310022022212122100
42311012010310
544123113243
64413302100
71114341045
oct265060464
9108285570
1047472948
1124885146
1213a94930
139ab2103
14643a8cc
15427b0d3
hex2d46134

47472948 has 72 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 15327936.

The previous prime is 47472941. The next prime is 47472977. The reversal of 47472948 is 84927474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47472941) 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 23 ways as a sum of consecutive naturals, for example, 265123 + ... + 265301.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 247472948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47472948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

47472948 is an abundant number, since it is smaller than the sum of its proper divisors (76359852).

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

47472948 is a wasteful number, since it uses less digits than its factorization.

47472948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 376 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 47472948 is about 6890.0615381867. The cubic root of 47472948 is about 362.0890575836.

The spelling of 47472948 in words is "forty-seven million, four hundred seventy-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 139 159 179 212 278 318 358 417 477 537 556 636 716 834 954 1074 1251 1611 1668 1908 2148 2502 3222 5004 6444 7367 9487 14734 18974 22101 24881 28461 29468 37948 44202 49762 56922 66303 74643 85383 88404 99524 113844 132606 149286 170766 223929 265212 298572 341532 447858 895716 1318693 2637386 3956079 5274772 7912158 11868237 15824316 23736474 47472948