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48098232 = 23337132447
BaseRepresentation
bin1011011101111…
…0101110111000
310100111122101000
42313132232320
544303120412
64434525000
71122554040
oct267365670
9110448330
1048098232
1125171a06
1214136760
139c708c0
146560720
1543514dc
hex2ddebb8

48098232 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 12680064.

The previous prime is 48098231. The next prime is 48098233. The reversal of 48098232 is 23289084.

It is an interprime number because it is at equal distance from previous prime (48098231) and next prime (48098233).

It is a super-3 number, since 3×480982323 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48098231) 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 31 ways as a sum of consecutive naturals, for example, 18433 + ... + 20879.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 248098232 is an apocalyptic number.

48098232 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 48098232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

48098232 is an abundant number, since it is smaller than the sum of its proper divisors (116407368).

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

48098232 is a wasteful number, since it uses less digits than its factorization.

48098232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48098232 is about 6935.2888908826. The cubic root of 48098232 is about 363.6718654581.

It can be divided in two parts, 4809 and 8232, that added together give a triangular number (13041 = T161).

The spelling of 48098232 in words is "forty-eight million, ninety-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2447 2457 2808 3276 4894 4914 6552 7341 9788 9828 14682 17129 19576 19656 22023 29364 31811 34258 44046 51387 58728 63622 66069 68516 88092 95433 102774 127244 132138 137032 154161 176184 190866 205548 222677 254488 264276 286299 308322 381732 411096 445354 462483 528552 572598 616644 668031 763464 858897 890708 924966 1145196 1233288 1336062 1717794 1781416 1849932 2004093 2290392 2672124 3435588 3699864 4008186 5344248 6012279 6871176 8016372 12024558 16032744 24049116 48098232