Search a number
-
+
475623040 = 275743161
BaseRepresentation
bin11100010110010…
…110111010000000
31020010222011011011
4130112112322000
51433224414130
6115110130304
714533505044
oct3426267200
91203864134
10475623040
112245276a2
12113350994
13776cb669
144724c024
152bb5052a
hex1c596e80

475623040 has 32 divisors (see below), whose sum is σ = 1137037860. Its totient is φ = 190248960.

The previous prime is 475623023. The next prime is 475623053. The reversal of 475623040 is 40326574.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 89264704 = 19656^2 + 9448^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 475622993 and 475623011.

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 3 ways as a sum of consecutive naturals, for example, 370941 + ... + 372220.

Almost surely, 2475623040 is an apocalyptic number.

475623040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475623040 is an abundant number, since it is smaller than the sum of its proper divisors (661414820).

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

475623040 is an equidigital number, since it uses as much as digits as its factorization.

475623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743180 (or 743168 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 475623040 is about 21808.7835515876. The cubic root of 475623040 is about 780.5863660134.

The spelling of 475623040 in words is "four hundred seventy-five million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 743161 1486322 2972644 3715805 5945288 7431610 11890576 14863220 23781152 29726440 47562304 59452880 95124608 118905760 237811520 475623040