Search a number
-
+
47503134 = 23271767331
BaseRepresentation
bin1011010100110…
…1011100011110
310022101102001100
42311031130132
544130100014
64414053530
71114525050
oct265153436
9108342040
1047503134
11248a5898
1213aaa2a6
139ac2a83
1464478d0
154285009
hex2d4d71e

47503134 has 96 divisors (see below), whose sum is σ = 126786816. Its totient is φ = 12545280.

The previous prime is 47503103. The next prime is 47503139. The reversal of 47503134 is 43130574.

It is a junction number, because it is equal to n+sod(n) for n = 47503098 and 47503107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47503139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143349 + ... + 143679.

It is an arithmetic number, because the mean of its divisors is an integer number (1320696).

Almost surely, 247503134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47503134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63393408).

47503134 is an abundant number, since it is smaller than the sum of its proper divisors (79283682).

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

47503134 is a wasteful number, since it uses less digits than its factorization.

47503134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 47503134 is about 6892.2517365517. The cubic root of 47503134 is about 362.1657869276.

The spelling of 47503134 in words is "forty-seven million, five hundred three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 67 102 119 126 134 153 201 238 306 331 357 402 469 603 662 714 938 993 1071 1139 1206 1407 1986 2142 2278 2317 2814 2979 3417 4221 4634 5627 5958 6834 6951 7973 8442 10251 11254 13902 15946 16881 20502 20853 22177 23919 33762 39389 41706 44354 47838 50643 66531 71757 78778 101286 118167 133062 143514 155239 199593 236334 310478 354501 377009 399186 465717 709002 754018 931434 1131027 1397151 2262054 2639063 2794302 3393081 5278126 6786162 7917189 15834378 23751567 47503134