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47115264 = 210372313
BaseRepresentation
bin1011001110111…
…0110000000000
310021122200222210
42303232300000
544030142024
64401502120
71111321200
oct263566000
9107580883
1047115264
1124660439
1213941940
1399b8371
146386400
15420a129
hex2ceec00

47115264 has 132 divisors (see below), whose sum is σ = 146548824. Its totient is φ = 13418496.

The previous prime is 47115253. The next prime is 47115281. The reversal of 47115264 is 46251174.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 150372 + ... + 150684.

Almost surely, 247115264 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 47115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73274412).

47115264 is an abundant number, since it is smaller than the sum of its proper divisors (99433560).

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

47115264 is a wasteful number, since it uses less digits than its factorization.

47115264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 325 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 47115264 is about 6864.0559438280. The cubic root of 47115264 is about 361.1773797504.

The spelling of 47115264 in words is "forty-seven million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 313 336 384 392 448 512 588 626 672 768 784 896 939 1024 1176 1252 1344 1536 1568 1792 1878 2191 2352 2504 2688 3072 3136 3584 3756 4382 4704 5008 5376 6272 6573 7168 7512 8764 9408 10016 10752 12544 13146 15024 15337 17528 18816 20032 21504 25088 26292 30048 30674 35056 37632 40064 46011 50176 52584 60096 61348 70112 75264 80128 92022 105168 120192 122696 140224 150528 160256 184044 210336 240384 245392 280448 320512 368088 420672 480768 490784 560896 736176 841344 961536 981568 1121792 1472352 1682688 1963136 2243584 2944704 3365376 3926272 5889408 6730752 7852544 11778816 15705088 23557632 47115264