Search a number
-
+
48407382 = 2341312281
BaseRepresentation
bin1011100010101…
…0001101010110
310101002100110000
42320222031112
544343014012
64445312130
71125312252
oct270521526
9111070400
1048407382
1125363201
1214265646
13a04b52a
146601262
1543b2ddc
hex2e2a356

48407382 has 40 divisors (see below), whose sum is σ = 109344312. Its totient is φ = 16005600.

The previous prime is 48407369. The next prime is 48407393. The reversal of 48407382 is 28370484.

48407382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 20082 + ... + 22362.

Almost surely, 248407382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48407382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54672156).

48407382 is an abundant number, since it is smaller than the sum of its proper divisors (60936930).

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

48407382 is a wasteful number, since it uses less digits than its factorization.

48407382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48407382 is about 6957.5413760897. The cubic root of 48407382 is about 364.4493655214.

The spelling of 48407382 in words is "forty-eight million, four hundred seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 786 1179 2281 2358 3537 4562 6843 7074 10611 13686 20529 21222 41058 61587 123174 184761 298811 369522 597622 896433 1792866 2689299 5378598 8067897 16135794 24203691 48407382