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47917056 = 211311709
BaseRepresentation
bin1011011011001…
…0100000000000
310100011102211210
42312302200000
544231321211
64431010120
71121200605
oct266624000
9110142753
1047917056
1125058880
1214069940
139c092b5
1465146ac
1543179a6
hex2db2800

47917056 has 96 divisors (see below), whose sum is σ = 139557600. Its totient is φ = 14499840.

The previous prime is 47917043. The next prime is 47917057. The reversal of 47917056 is 65071974.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (47917057) 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, 67230 + ... + 67938.

It is an arithmetic number, because the mean of its divisors is an integer number (1453725).

Almost surely, 247917056 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 47917056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69778800).

47917056 is an abundant number, since it is smaller than the sum of its proper divisors (91640544).

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

47917056 is a wasteful number, since it uses less digits than its factorization.

47917056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 47917056 is about 6922.2146745099. The cubic root of 47917056 is about 363.2146655828.

The spelling of 47917056 in words is "forty-seven million, nine hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 709 768 1024 1056 1408 1418 1536 2048 2112 2127 2816 2836 3072 4224 4254 5632 5672 6144 7799 8448 8508 11264 11344 15598 16896 17016 22528 22688 23397 31196 33792 34032 45376 46794 62392 67584 68064 90752 93588 124784 136128 181504 187176 249568 272256 363008 374352 499136 544512 726016 748704 998272 1089024 1452032 1497408 1996544 2178048 2994816 3993088 4356096 5989632 7986176 11979264 15972352 23958528 47917056