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47831056 = 2472132192
BaseRepresentation
bin1011011001110…
…1100000010000
310100000001212121
42312131200100
544221043211
64425104024
71120362100
oct266354020
9110001777
1047831056
1124aaa1a9
1214028014
139ba9100
1464d1200
1542ec271
hex2d9d810

47831056 has 135 divisors (see below), whose sum is σ = 123200541. Its totient is φ = 17926272.

The previous prime is 47831027. The next prime is 47831059. The reversal of 47831056 is 65013874.

The square root of 47831056 is 6916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7075600 + 40755456 = 2660^2 + 6384^2 .

It is not an unprimeable number, because it can be changed into a prime (47831059) 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 26 ways as a sum of consecutive naturals, for example, 2517415 + ... + 2517433.

Almost surely, 247831056 is an apocalyptic number.

47831056 is the 6916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47831056

47831056 is an abundant number, since it is smaller than the sum of its proper divisors (75369485).

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

47831056 is a wasteful number, since it uses less digits than its factorization.

47831056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The cubic root of 47831056 is about 362.9972400987.

The spelling of 47831056 in words is "forty-seven million, eight hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 49 52 56 76 91 98 104 112 133 152 169 182 196 208 247 266 304 338 361 364 392 494 532 637 676 722 728 784 931 988 1064 1183 1274 1352 1444 1456 1729 1862 1976 2128 2366 2527 2548 2704 2888 3211 3458 3724 3952 4693 4732 5054 5096 5776 6422 6916 7448 8281 9386 9464 10108 10192 12103 12844 13832 14896 16562 17689 18772 18928 20216 22477 24206 25688 27664 32851 33124 35378 37544 40432 44954 48412 51376 61009 65702 66248 70756 75088 89908 96824 122018 131404 132496 141512 157339 179816 193648 229957 244036 262808 283024 314678 359632 427063 459914 488072 525616 629356 854126 919828 976144 1258712 1708252 1839656 2517424 2989441 3416504 3679312 5978882 6833008 11957764 23915528 47831056