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481061376 = 2933172389
BaseRepresentation
bin11100101011000…
…110101000000000
31020112012110011000
4130223012220000
51441122431001
6115422452000
714630645205
oct3453065000
91215173130
10481061376
11227601594
12115134000
1378883b03
1447c65cac
152c376a86
hex1cac6a00

481061376 has 320 divisors, whose sum is σ = 1590969600. Its totient is φ = 142737408.

The previous prime is 481061327. The next prime is 481061377. The reversal of 481061376 is 673160184.

It is a super-3 number, since 3×4810613763 (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 481061376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481061377) 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 31 ways as a sum of consecutive naturals, for example, 5405140 + ... + 5405228.

It is an arithmetic number, because the mean of its divisors is an integer number (4971780).

Almost surely, 2481061376 is an apocalyptic number.

481061376 is a gapful number since it is divisible by the number (46) 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 481061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795484800).

481061376 is an abundant number, since it is smaller than the sum of its proper divisors (1109908224).

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

481061376 is a wasteful number, since it uses less digits than its factorization.

481061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 481061376 is about 21933.1114071853. Note that the first 3 decimals coincide. The cubic root of 481061376 is about 783.5502070802.

The spelling of 481061376 in words is "four hundred eighty-one million, sixty-one thousand, three hundred seventy-six".