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48332424 = 2337273563
BaseRepresentation
bin1011100001011…
…1111010001000
310100221112121210
42320113322020
544333114144
64443533120
71124550600
oct270277210
9110845553
1048332424
1125311958
121422a1a0
13a02338a
1465c1c00
15439aab9
hex2e17e88

48332424 has 96 divisors (see below), whose sum is σ = 142737120. Its totient is φ = 13595904.

The previous prime is 48332423. The next prime is 48332443. The reversal of 48332424 is 42423384.

48332424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 48332391 and 48332400.

It is not an unprimeable number, because it can be changed into a prime (48332423) 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 23 ways as a sum of consecutive naturals, for example, 85567 + ... + 86129.

It is an arithmetic number, because the mean of its divisors is an integer number (1486845).

Almost surely, 248332424 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 48332424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71368560).

48332424 is an abundant number, since it is smaller than the sum of its proper divisors (94404696).

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

48332424 is a wasteful number, since it uses less digits than its factorization.

48332424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 48332424 is about 6952.1524724361. The cubic root of 48332424 is about 364.2611538118.

The spelling of 48332424 in words is "forty-eight million, three hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 73 84 98 146 147 168 196 219 292 294 392 438 511 563 584 588 876 1022 1126 1176 1533 1689 1752 2044 2252 3066 3378 3577 3941 4088 4504 6132 6756 7154 7882 10731 11823 12264 13512 14308 15764 21462 23646 27587 28616 31528 41099 42924 47292 55174 82198 82761 85848 94584 110348 123297 164396 165522 220696 246594 287693 328792 331044 493188 575386 662088 863079 986376 1150772 1726158 2013851 2301544 3452316 4027702 6041553 6904632 8055404 12083106 16110808 24166212 48332424