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48008532 = 2231113101277
BaseRepresentation
bin1011011100100…
…0110101010100
310100100002022210
42313020311110
544242233112
64432553420
71122031365
oct267106524
9110302283
1048008532
1125110580
12140b2870
139c3bb20
146539b6c
154334b3c
hex2dc8d54

48008532 has 96 divisors (see below), whose sum is σ = 133386624. Its totient is φ = 13248000.

The previous prime is 48008531. The next prime is 48008533. The reversal of 48008532 is 23580084.

48008532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48008531) and next prime (48008533).

It is a self number, because there is not a number n which added to its sum of digits gives 48008532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48008531) 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 31 ways as a sum of consecutive naturals, for example, 173178 + ... + 173454.

It is an arithmetic number, because the mean of its divisors is an integer number (1389444).

Almost surely, 248008532 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 48008532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66693312).

48008532 is an abundant number, since it is smaller than the sum of its proper divisors (85378092).

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

48008532 is a wasteful number, since it uses less digits than its factorization.

48008532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 48008532 is about 6928.8189469779. The cubic root of 48008532 is about 363.4456501698.

The spelling of 48008532 in words is "forty-eight million, eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 101 132 143 156 202 277 286 303 404 429 554 572 606 831 858 1108 1111 1212 1313 1662 1716 2222 2626 3047 3324 3333 3601 3939 4444 5252 6094 6666 7202 7878 9141 10803 12188 13332 14404 14443 15756 18282 21606 27977 28886 36564 39611 43212 43329 55954 57772 79222 83931 86658 111908 118833 158444 167862 173316 237666 307747 335724 363701 475332 615494 727402 923241 1091103 1230988 1454804 1846482 2182206 3692964 4000711 4364412 8001422 12002133 16002844 24004266 48008532