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48729032 = 23111573527
BaseRepresentation
bin1011100111100…
…0101111001000
310101200200122222
42321320233020
544433312112
64500233212
71131122102
oct271705710
9111620588
1048729032
1125562930
121439b808
13a131a61
146686572
154428372
hex2e78bc8

48729032 has 32 divisors (see below), whose sum is σ = 100336320. Its totient is φ = 22002240.

The previous prime is 48729029. The next prime is 48729041. The reversal of 48729032 is 23092784.

It is a junction number, because it is equal to n+sod(n) for n = 48728983 and 48729001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12053 + ... + 15579.

It is an arithmetic number, because the mean of its divisors is an integer number (3135510).

Almost surely, 248729032 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 48729032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168160).

48729032 is an abundant number, since it is smaller than the sum of its proper divisors (51607288).

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

48729032 is a wasteful number, since it uses less digits than its factorization.

48729032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 48729032 is about 6980.6183107229. The cubic root of 48729032 is about 365.2547967587.

The spelling of 48729032 in words is "forty-eight million, seven hundred twenty-nine thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 157 314 628 1256 1727 3454 3527 6908 7054 13816 14108 28216 38797 77594 155188 310376 553739 1107478 2214956 4429912 6091129 12182258 24364516 48729032