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48646746 = 23229412273
BaseRepresentation
bin1011100110010…
…0101001011010
310101112111210100
42321210221122
544423143441
64454400230
71130330151
oct271445132
9111474710
1048646746
1125507025
1214360076
13a103475
146664598
15440dcb6
hex2e64a5a

48646746 has 48 divisors (see below), whose sum is σ = 111744360. Its totient is φ = 15267840.

The previous prime is 48646733. The next prime is 48646769. The reversal of 48646746 is 64764684.

48646746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39879225 + 8767521 = 6315^2 + 2961^2 .

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 23 ways as a sum of consecutive naturals, for example, 20266 + ... + 22538.

Almost surely, 248646746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48646746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55872180).

48646746 is an abundant number, since it is smaller than the sum of its proper divisors (63097614).

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

48646746 is a wasteful number, since it uses less digits than its factorization.

48646746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2348 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 48646746 is about 6974.7219299410. The cubic root of 48646746 is about 365.0490857861.

The spelling of 48646746 in words is "forty-eight million, six hundred forty-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2273 2378 3567 4546 6819 7134 10701 13638 20457 21402 40914 65917 93193 131834 186386 197751 279579 395502 559158 593253 838737 1186506 1677474 2702597 5405194 8107791 16215582 24323373 48646746