Search a number
-
+
45476000 = 255311369
BaseRepresentation
bin1010110101111…
…0100010100000
310011120102100022
42231132202200
543120213000
64302413012
71061353043
oct255364240
9104512308
1045476000
1123740879
1213291168
13956319b
14607ac5a
153ed4585
hex2b5e8a0

45476000 has 48 divisors (see below), whose sum is σ = 111744360. Its totient is φ = 18188800.

The previous prime is 45475979. The next prime is 45476009. The reversal of 45476000 is 67454.

It can be written as a sum of positive squares in 4 ways, for example, as 14961424 + 30514576 = 3868^2 + 5524^2 .

It is not an unprimeable number, because it can be changed into a prime (45476009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685 + ... + 9684.

Almost surely, 245476000 is an apocalyptic number.

45476000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45476000 is an abundant number, since it is smaller than the sum of its proper divisors (66268360).

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

45476000 is a wasteful number, since it uses less digits than its factorization.

45476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11394 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 45476000 is about 6743.5895486010. The cubic root of 45476000 is about 356.9390685006.

The spelling of 45476000 in words is "forty-five million, four hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 11369 22738 45476 56845 90952 113690 181904 227380 284225 363808 454760 568450 909520 1136900 1421125 1819040 2273800 2842250 4547600 5684500 9095200 11369000 22738000 45476000