Search a number
-
+
48172032 = 210325227
BaseRepresentation
bin1011011111000…
…0110000000000
310100122101121100
42313300300000
544313001112
64440254400
71123312146
oct267606000
9110571540
1048172032
11252123a7
1214171400
139c9837c
14657d596
1543682dc
hex2df0c00

48172032 has 66 divisors (see below), whose sum is σ = 139122308. Its totient is φ = 16054272.

The previous prime is 48172031. The next prime is 48172057. The reversal of 48172032 is 23027184.

It is a junction number, because it is equal to n+sod(n) for n = 48171987 and 48172005.

It is not an unprimeable number, because it can be changed into a prime (48172031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6603 + ... + 11829.

Almost surely, 248172032 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 48172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69561154).

48172032 is an abundant number, since it is smaller than the sum of its proper divisors (90950276).

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

48172032 is a wasteful number, since it uses less digits than its factorization.

48172032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5232 counting only the distinct ones).

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

The square root of 48172032 is about 6940.6074662093. The cubic root of 48172032 is about 363.8577715878.

The spelling of 48172032 in words is "forty-eight million, one hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 5227 9216 10454 15681 20908 31362 41816 47043 62724 83632 94086 125448 167264 188172 250896 334528 376344 501792 669056 752688 1003584 1338112 1505376 2007168 2676224 3010752 4014336 5352448 6021504 8028672 12043008 16057344 24086016 48172032