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464063080 = 235131277027
BaseRepresentation
bin11011101010010…
…000101001101000
31012100012211212111
4123222100221220
51422300004310
6114014252104
714333320405
oct3352205150
91170184774
10464063080
11218a51508
1210b4b7034
13751b1a50
14458bd2ac
152ab1a28a
hex1ba90a68

464063080 has 64 divisors (see below), whose sum is σ = 1133475840. Its totient is φ = 169972992.

The previous prime is 464063063. The next prime is 464063081. The reversal of 464063080 is 80360464.

It is not an unprimeable number, because it can be changed into a prime (464063081) by changing a digit.

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, 62527 + ... + 69553.

It is an arithmetic number, because the mean of its divisors is an integer number (17710560).

Almost surely, 2464063080 is an apocalyptic number.

464063080 is a gapful number since it is divisible by the number (40) 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 464063080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566737920).

464063080 is an abundant number, since it is smaller than the sum of its proper divisors (669412760).

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

464063080 is a wasteful number, since it uses less digits than its factorization.

464063080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178 (or 7174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 464063080 is about 21542.1233865188. The cubic root of 464063080 is about 774.2104091362.

The spelling of 464063080 in words is "four hundred sixty-four million, sixty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 508 520 635 1016 1270 1651 2540 3302 5080 6604 7027 8255 13208 14054 16510 28108 33020 35135 56216 66040 70270 91351 140540 182702 281080 365404 456755 730808 892429 913510 1784858 1827020 3569716 3654040 4462145 7139432 8924290 11601577 17848580 23203154 35697160 46406308 58007885 92812616 116015770 232031540 464063080