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481324464 = 24335631979
BaseRepresentation
bin11100101100000…
…110110110110000
31020112200211001000
4130230012312300
51441204340324
6115432242000
714633122215
oct3454066660
91215624030
10481324464
11227771215
12115240300
137894679a
1447cd3b0c
152c3c99c9
hex1cb06db0

481324464 has 80 divisors (see below), whose sum is σ = 1384732800. Its totient is φ = 160075584.

The previous prime is 481324463. The next prime is 481324471. The reversal of 481324464 is 464423184.

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 not an unprimeable number, because it can be changed into a prime (481324463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242227 + ... + 244205.

It is an arithmetic number, because the mean of its divisors is an integer number (17309160).

Almost surely, 2481324464 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 481324464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692366400).

481324464 is an abundant number, since it is smaller than the sum of its proper divisors (903408336).

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

481324464 is a wasteful number, since it uses less digits than its factorization.

481324464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2547 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 481324464 is about 21939.1080949067. The cubic root of 481324464 is about 783.6930198268.

The spelling of 481324464 in words is "four hundred eighty-one million, three hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 563 1126 1689 1979 2252 3378 3958 4504 5067 5937 6756 7916 9008 10134 11874 13512 15201 15832 17811 20268 23748 27024 30402 31664 35622 40536 47496 53433 60804 71244 81072 94992 106866 121608 142488 213732 243216 284976 427464 854928 1114177 2228354 3342531 4456708 6685062 8913416 10027593 13370124 17826832 20055186 26740248 30082779 40110372 53480496 60165558 80220744 120331116 160441488 240662232 481324464