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48172752 = 2433195869
BaseRepresentation
bin1011011111000…
…0111011010000
310100122102121000
42313300323100
544313012002
64440302000
71123314225
oct267607320
9110572530
1048172752
11252129a1
1214171900
139c987b4
14657d94c
15436861c
hex2df0ed0

48172752 has 80 divisors (see below), whose sum is σ = 145576000. Its totient is φ = 15209856.

The previous prime is 48172721. The next prime is 48172757. The reversal of 48172752 is 25727184.

It is a super-2 number, since 2×481727522 = 4641228070507008, which contains 22 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 (48172757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5274 + ... + 11142.

It is an arithmetic number, because the mean of its divisors is an integer number (1819700).

Almost surely, 248172752 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 48172752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72788000).

48172752 is an abundant number, since it is smaller than the sum of its proper divisors (97403248).

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

48172752 is a wasteful number, since it uses less digits than its factorization.

48172752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5893 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 48172752 is about 6940.6593346742. The cubic root of 48172752 is about 363.8595843706.

It can be divided in two parts, 4817 and 2752, that added together give a square (7569 = 872).

The spelling of 48172752 in words is "forty-eight million, one hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 5869 8208 11738 17607 23476 35214 46952 52821 70428 93904 105642 111511 140856 158463 211284 223022 281712 316926 334533 422568 446044 633852 669066 845136 892088 1003599 1267704 1338132 1784176 2007198 2535408 2676264 3010797 4014396 5352528 6021594 8028792 12043188 16057584 24086376 48172752