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48742218 = 23271312953
BaseRepresentation
bin1011100111101…
…1111101001010
310101201100202100
42321323331022
544434222333
64500414230
71131205410
oct271737512
9111640670
1048742218
1125571828
12143a7376
13a137a65
14668b2b0
15442c213
hex2e7bf4a

48742218 has 48 divisors (see below), whose sum is σ = 121657536. Its totient is φ = 13815360.

The previous prime is 48742217. The next prime is 48742241. The reversal of 48742218 is 81224784.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48742217) 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 23 ways as a sum of consecutive naturals, for example, 15030 + ... + 17982.

It is an arithmetic number, because the mean of its divisors is an integer number (2534532).

Almost surely, 248742218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48742218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60828768).

48742218 is an abundant number, since it is smaller than the sum of its proper divisors (72915318).

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

48742218 is a wasteful number, since it uses less digits than its factorization.

48742218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3096 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 48742218 is about 6981.5627190479. The cubic root of 48742218 is about 365.2877395801.

The spelling of 48742218 in words is "forty-eight million, seven hundred forty-two thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 2953 5502 5906 8253 8859 16506 17718 20671 26577 41342 53154 62013 124026 186039 372078 386843 773686 1160529 2321058 2707901 3481587 5415802 6963174 8123703 16247406 24371109 48742218