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481276152 = 2332773103127
BaseRepresentation
bin11100101011111…
…011000011111000
31020112121100202200
4130223323003320
51441201314102
6115431230200
714632531320
oct3453730370
91215540680
10481276152
11227738995
12115218360
137892a7b6
1447cc0280
152c3ba51c
hex1cafb0f8

481276152 has 192 divisors, whose sum is σ = 1536737280. Its totient is φ = 133249536.

The previous prime is 481276151. The next prime is 481276207. The reversal of 481276152 is 251672184.

481276152 is a `hidden beast` number, since 481 + 27 + 6 + 152 = 666.

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 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 (481276151) 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 47 ways as a sum of consecutive naturals, for example, 3789513 + ... + 3789639.

It is an arithmetic number, because the mean of its divisors is an integer number (8003840).

Almost surely, 2481276152 is an apocalyptic number.

481276152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481276152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768368640).

481276152 is an abundant number, since it is smaller than the sum of its proper divisors (1055461128).

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

481276152 is a wasteful number, since it uses less digits than its factorization.

481276152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 481276152 is about 21938.0070197819. The cubic root of 481276152 is about 783.6667983990. Note that the first 3 decimals are identical.

The spelling of 481276152 in words is "four hundred eighty-one million, two hundred seventy-six thousand, one hundred fifty-two".