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481061064 = 233112417561
BaseRepresentation
bin11100101011000…
…110100011001000
31020112012102201110
4130223012203020
51441122423224
6115422450320
714630644251
oct3453064310
91215172643
10481061064
11227601330
121151339a0
1378883923
1447c65b28
152c376929
hex1cac68c8

481061064 has 64 divisors (see below), whose sum is σ = 1317602880. Its totient is φ = 145152000.

The previous prime is 481061059. The next prime is 481061101. The reversal of 481061064 is 460160184.

It is a super-3 number, since 3×4810610643 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59844 + ... + 67404.

It is an arithmetic number, because the mean of its divisors is an integer number (20587545).

Almost surely, 2481061064 is an apocalyptic number.

481061064 is a gapful number since it is divisible by the number (44) 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 481061064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658801440).

481061064 is an abundant number, since it is smaller than the sum of its proper divisors (836541816).

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

481061064 is a wasteful number, since it uses less digits than its factorization.

481061064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 481061064 is about 21933.1042946501. The cubic root of 481061064 is about 783.5500376855.

The spelling of 481061064 in words is "four hundred eighty-one million, sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 241 264 482 723 964 1446 1928 2651 2892 5302 5784 7561 7953 10604 15122 15906 21208 22683 30244 31812 45366 60488 63624 83171 90732 166342 181464 249513 332684 499026 665368 998052 1822201 1996104 3644402 5466603 7288804 10933206 14577608 20044211 21866412 40088422 43732824 60132633 80176844 120265266 160353688 240530532 481061064