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47148984 = 23324397157
BaseRepresentation
bin1011001111011…
…0111110111000
310021201102020200
42303312332320
544032231414
64402322200
71111521411
oct263667670
9107642220
1047148984
1124683803
1213959360
1399ca80c
146394808
154215109
hex2cf6fb8

47148984 has 96 divisors (see below), whose sum is σ = 132852720. Its totient is φ = 15095808.

The previous prime is 47148979. The next prime is 47149033. The reversal of 47148984 is 48984174.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300234 + ... + 300390.

Almost surely, 247148984 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 47148984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66426360).

47148984 is an abundant number, since it is smaller than the sum of its proper divisors (85703736).

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

47148984 is a wasteful number, since it uses less digits than its factorization.

47148984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 47148984 is about 6866.5117781884. The cubic root of 47148984 is about 361.2635230787.

It can be divided in two parts, 471 and 48984, that added together give a triangular number (49455 = T314).

The spelling of 47148984 in words is "forty-seven million, one hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 97 129 157 172 194 258 291 314 344 387 388 471 516 582 628 774 776 873 942 1032 1164 1256 1413 1548 1746 1884 2328 2826 3096 3492 3768 4171 5652 6751 6984 8342 11304 12513 13502 15229 16684 20253 25026 27004 30458 33368 37539 40506 45687 50052 54008 60759 60916 75078 81012 91374 100104 121518 121832 137061 150156 162024 182748 243036 274122 300312 365496 486072 548244 654847 1096488 1309694 1964541 2619388 3929082 5238776 5893623 7858164 11787246 15716328 23574492 47148984