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47530470 = 235131767107
BaseRepresentation
bin1011010101010…
…0000111100110
310022102210112210
42311110013212
544131433340
64414424250
71115000541
oct265240746
9108383483
1047530470
1124914389
1213b02086
139b02350
146453858
15428d180
hex2d541e6

47530470 has 128 divisors (see below), whose sum is σ = 133249536. Its totient is φ = 10745856.

The previous prime is 47530463. The next prime is 47530501. The reversal of 47530470 is 7403574.

47530470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 444157 + ... + 444263.

It is an arithmetic number, because the mean of its divisors is an integer number (1041012).

Almost surely, 247530470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47530470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768).

47530470 is an abundant number, since it is smaller than the sum of its proper divisors (85719066).

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

47530470 is a wasteful number, since it uses less digits than its factorization.

47530470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 47530470 is about 6894.2345477943. The cubic root of 47530470 is about 362.2352438573.

The spelling of 47530470 in words is "forty-seven million, five hundred thirty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 67 78 85 102 107 130 134 170 195 201 214 221 255 321 335 390 402 442 510 535 642 663 670 871 1005 1070 1105 1139 1326 1391 1605 1742 1819 2010 2210 2278 2613 2782 3210 3315 3417 3638 4173 4355 5226 5457 5695 6630 6834 6955 7169 8346 8710 9095 10914 11390 13065 13910 14338 14807 17085 18190 20865 21507 23647 26130 27285 29614 34170 35845 41730 43014 44421 47294 54570 70941 71690 74035 88842 93197 107535 118235 121873 141882 148070 186394 215070 222105 236470 243746 279591 354705 365619 444210 465985 559182 609365 709410 731238 931970 1218730 1397955 1584349 1828095 2795910 3168698 3656190 4753047 7921745 9506094 15843490 23765235 47530470