Search a number
-
+
48266946 = 23271379373
BaseRepresentation
bin1011100000011…
…1111011000010
310100211012210200
42320013323002
544324020241
64442310030
71124155650
oct270077302
9110735720
1048266946
1125277742
12141b8316
139ccc630
1465a5dd0
1543864b6
hex2e07ec2

48266946 has 96 divisors (see below), whose sum is σ = 130690560. Its totient is φ = 12534912.

The previous prime is 48266929. The next prime is 48266947. The reversal of 48266946 is 64966284.

48266946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48266947) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 129216 + ... + 129588.

It is an arithmetic number, because the mean of its divisors is an integer number (1361360).

Almost surely, 248266946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48266946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65345280).

48266946 is an abundant number, since it is smaller than the sum of its proper divisors (82423614).

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

48266946 is a wasteful number, since it uses less digits than its factorization.

48266946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 48266946 is about 6947.4416874127. The cubic root of 48266946 is about 364.0965860906.

The spelling of 48266946 in words is "forty-eight million, two hundred sixty-six thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 79 91 117 126 158 182 234 237 273 373 474 546 553 711 746 819 1027 1106 1119 1422 1638 1659 2054 2238 2611 3081 3318 3357 4849 4977 5222 6162 6714 7189 7833 9243 9698 9954 14378 14547 15666 18486 21567 23499 29094 29467 33943 43134 43641 46998 58934 64701 67886 87282 88401 101829 129402 176802 203658 206269 265203 305487 383071 412538 530406 610974 618807 766142 1149213 1237614 1856421 2298426 2681497 3447639 3712842 5362994 6895278 8044491 16088982 24133473 48266946