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48153150 = 2335253673
BaseRepresentation
bin1011011110110…
…0001000111110
310100121102201000
42313230020332
544311400100
64440031130
71123203123
oct267541076
9110542630
1048153150
11251aa1a1
12141624a6
139c8c8b6
14657674a
154362900
hex2dec23e

48153150 has 96 divisors (see below), whose sum is σ = 135393120. Its totient is φ = 12579840.

The previous prime is 48153139. The next prime is 48153151. The reversal of 48153150 is 5135184.

48153150 is a `hidden beast` number, since 4 + 81 + 531 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48153151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71214 + ... + 71886.

It is an arithmetic number, because the mean of its divisors is an integer number (1410345).

Almost surely, 248153150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48153150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67696560).

48153150 is an abundant number, since it is smaller than the sum of its proper divisors (87239970).

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

48153150 is a wasteful number, since it uses less digits than its factorization.

48153150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 48153150 is about 6939.2470773132. The cubic root of 48153150 is about 363.8102249097.

The spelling of 48153150 in words is "forty-eight million, one hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 90 106 135 150 159 225 265 270 318 450 477 530 673 675 795 954 1325 1346 1350 1431 1590 2019 2385 2650 2862 3365 3975 4038 4770 6057 6730 7155 7950 10095 11925 12114 14310 16825 18171 20190 23850 30285 33650 35669 35775 36342 50475 60570 71338 71550 90855 100950 107007 151425 178345 181710 214014 302850 321021 356690 454275 535035 642042 891725 908550 963063 1070070 1605105 1783450 1926126 2675175 3210210 4815315 5350350 8025525 9630630 16051050 24076575 48153150