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48125232 = 2433176553
BaseRepresentation
bin1011011110010…
…1010100110000
310100120000102000
42313211110300
544310001412
64435254000
71123025541
oct267452460
9110500360
1048125232
1125190221
121414a300
139c7cc8c
14656a4c8
1543594dc
hex2de5530

48125232 has 80 divisors (see below), whose sum is σ = 146285280. Its totient is φ = 15095808.

The previous prime is 48125221. The next prime is 48125281. The reversal of 48125232 is 23252184.

48125232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48125196 and 48125205.

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 15 ways as a sum of consecutive naturals, for example, 4068 + ... + 10620.

It is an arithmetic number, because the mean of its divisors is an integer number (1828566).

Almost surely, 248125232 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 48125232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73142640).

48125232 is an abundant number, since it is smaller than the sum of its proper divisors (98160048).

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

48125232 is a wasteful number, since it uses less digits than its factorization.

48125232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6575 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 48125232 is about 6937.2351841350. The cubic root of 48125232 is about 363.7399019409.

The spelling of 48125232 in words is "forty-eight million, one hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 6553 7344 13106 19659 26212 39318 52424 58977 78636 104848 111401 117954 157272 176931 222802 235908 314544 334203 353862 445604 471816 668406 707724 891208 943632 1002609 1336812 1415448 1782416 2005218 2673624 2830896 3007827 4010436 5347248 6015654 8020872 12031308 16041744 24062616 48125232