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48791232 = 2632712101
BaseRepresentation
bin1011101000011…
…1111011000000
310101210211222200
42322013323000
544442304412
64501433200
71131501330
oct272077300
9111724880
1048791232
11255a5636
121440b800
13a154169
1466a10c0
15443b9dc
hex2e87ec0

48791232 has 84 divisors (see below), whose sum is σ = 159843216. Its totient is φ = 13939200.

The previous prime is 48791227. The next prime is 48791233. The reversal of 48791232 is 23219784.

48791232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (48791233) 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 11 ways as a sum of consecutive naturals, for example, 2019 + ... + 10082.

Almost surely, 248791232 is an apocalyptic number.

48791232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48791232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79921608).

48791232 is an abundant number, since it is smaller than the sum of its proper divisors (111051984).

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

48791232 is a wasteful number, since it uses less digits than its factorization.

48791232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12126 (or 12113 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 48791232 is about 6985.0720826631. The cubic root of 48791232 is about 365.4101400781.

It can be divided in two parts, 487 and 91232, that added together give a palindrome (91719).

The spelling of 48791232 in words is "forty-eight million, seven hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 12101 24202 36303 48404 72606 84707 96808 108909 145212 169414 193616 217818 254121 290424 338828 387232 435636 508242 580848 677656 762363 774464 871272 1016484 1161696 1355312 1524726 1742544 2032968 2323392 2710624 3049452 3485088 4065936 5421248 6098904 6970176 8131872 12197808 16263744 24395616 48791232