Search a number
-
+
464904762 = 23711069161
BaseRepresentation
bin11011101101011…
…110001000111010
31012101210121102220
4123231132020322
51423003423022
6114044304510
714343424320
oct3355361072
91171717386
10464904762
11219476913
1210b842136
1375417b9a
1445a5bd10
152ac3485c
hex1bb5e23a

464904762 has 16 divisors (see below), whose sum is σ = 1062639552. Its totient is φ = 132829920.

The previous prime is 464904757. The next prime is 464904767. The reversal of 464904762 is 267409464.

It is an interprime number because it is at equal distance from previous prime (464904757) and next prime (464904767).

It is a super-2 number, since 2×4649047622 = 432272875460553288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 11069161 = 464904762 / (4 + 6 + 4 + 9 + 0 + 4 + 7 + 6 + 2).

It is not an unprimeable number, because it can be changed into a prime (464904767) 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 7 ways as a sum of consecutive naturals, for example, 5534539 + ... + 5534622.

It is an arithmetic number, because the mean of its divisors is an integer number (66414972).

Almost surely, 2464904762 is an apocalyptic number.

464904762 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

464904762 is an abundant number, since it is smaller than the sum of its proper divisors (597734790).

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

464904762 is a wasteful number, since it uses less digits than its factorization.

464904762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11069173.

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 464904762 is about 21561.6502615176. The cubic root of 464904762 is about 774.6781942470.

The spelling of 464904762 in words is "four hundred sixty-four million, nine hundred four thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 11069161 22138322 33207483 66414966 77484127 154968254 232452381 464904762