Search a number
-
+
48826464 = 2532292221
BaseRepresentation
bin1011101001000…
…0100001100000
310101212122022120
42322100201200
544444421324
64502304240
71132006131
oct272204140
9111778276
1048826464
112561a055
1214428080
13a1671cb
1466adc88
154447179
hex2e90860

48826464 has 48 divisors (see below), whose sum is σ = 128787120. Its totient is φ = 16197120.

The previous prime is 48826439. The next prime is 48826471. The reversal of 48826464 is 46462884.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20874 + ... + 23094.

It is an arithmetic number, because the mean of its divisors is an integer number (2683065).

Almost surely, 248826464 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 48826464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393560).

48826464 is an abundant number, since it is smaller than the sum of its proper divisors (79960656).

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

48826464 is a wasteful number, since it uses less digits than its factorization.

48826464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2455 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 48826464 is about 6987.5935771909. The cubic root of 48826464 is about 365.4980727659.

The spelling of 48826464 in words is "forty-eight million, eight hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2221 2748 3664 4442 5496 6663 7328 8884 10992 13326 17768 21984 26652 35536 53304 71072 106608 213216 508609 1017218 1525827 2034436 3051654 4068872 6103308 8137744 12206616 16275488 24413232 48826464