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48242376 = 233271337199
BaseRepresentation
bin1011100000000…
…1111011001000
310100202222002200
42320001323020
544322224001
64442000200
71124024220
oct270017310
9110688080
1048242376
1125260236
12141a6060
139cc13b0
14659b080
15437e086
hex2e01ec8

48242376 has 192 divisors, whose sum is σ = 165984000. Its totient is φ = 12317184.

The previous prime is 48242371. The next prime is 48242401. The reversal of 48242376 is 67324284.

48242376 is a `hidden beast` number, since 48 + 242 + 376 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 48242376.

It is not an unprimeable number, because it can be changed into a prime (48242371) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 242325 + ... + 242523.

It is an arithmetic number, because the mean of its divisors is an integer number (864500).

Almost surely, 248242376 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 48242376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82992000).

48242376 is an abundant number, since it is smaller than the sum of its proper divisors (117741624).

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

48242376 is a wasteful number, since it uses less digits than its factorization.

48242376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 48242376 is about 6945.6731855163. The cubic root of 48242376 is about 364.0347952086.

The spelling of 48242376 in words is "forty-eight million, two hundred forty-two thousand, three hundred seventy-six".