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48217032 = 2335171459
BaseRepresentation
bin1011011111101…
…1101111001000
310100201200100000
42313323233020
544320421112
64441243000
71123560303
oct267735710
9110650300
1048217032
1125243196
1214193460
139cb29b6
146591b3a
1543767dc
hex2dfbbc8

48217032 has 96 divisors (see below), whose sum is σ = 143488800. Its totient is φ = 15116544.

The previous prime is 48217007. The next prime is 48217033. The reversal of 48217032 is 23071284.

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 = 48216987 and 48217005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48217033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32319 + ... + 33777.

It is an arithmetic number, because the mean of its divisors is an integer number (1494675).

Almost surely, 248217032 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 48217032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71744400).

48217032 is an abundant number, since it is smaller than the sum of its proper divisors (95271768).

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

48217032 is a wasteful number, since it uses less digits than its factorization.

48217032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 48217032 is about 6943.8485006515. The cubic root of 48217032 is about 363.9710358147.

The spelling of 48217032 in words is "forty-eight million, two hundred seventeen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1459 1836 1944 2754 2918 3672 4131 4377 5508 5836 8262 8754 11016 11672 13131 16524 17508 24803 26262 33048 35016 39393 49606 52524 74409 78786 99212 105048 118179 148818 157572 198424 223227 236358 297636 315144 354537 446454 472716 595272 669681 709074 892908 945432 1339362 1418148 1785816 2009043 2678724 2836296 4018086 5357448 6027129 8036172 12054258 16072344 24108516 48217032