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48726216 = 233271121747
BaseRepresentation
bin1011100111100…
…0000011001000
310101200112210200
42321320003020
544433214331
64500212200
71131110640
oct271700310
9111615720
1048726216
1125560800
121439a060
13a1306a6
146685520
1544275e6
hex2e780c8

48726216 has 288 divisors, whose sum is σ = 179262720. Its totient is φ = 11658240.

The previous prime is 48726187. The next prime is 48726221. The reversal of 48726216 is 61262784.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1036705 + ... + 1036751.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 248726216 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 48726216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

48726216 is an abundant number, since it is smaller than the sum of its proper divisors (130536504).

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

48726216 is a wasteful number, since it uses less digits than its factorization.

48726216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 48726216 is about 6980.4166064784. The cubic root of 48726216 is about 365.2477607251.

The spelling of 48726216 in words is "forty-eight million, seven hundred twenty-six thousand, two hundred sixteen".