Search a number
-
+
454625000 = 23563637
BaseRepresentation
bin11011000110010…
…000011011101000
31011200110100020222
4123012100123220
51412341000000
6113040105212
714160151214
oct3306203350
91150410228
10454625000
11213695545
12108305208
1373258b9b
1444543944
1529da3a85
hex1b1906e8

454625000 has 56 divisors (see below), whose sum is σ = 1065806670. Its totient is φ = 181800000.

The previous prime is 454624987. The next prime is 454625011. The reversal of 454625000 is 526454.

It can be written as a sum of positive squares in 7 ways, for example, as 371487076 + 83137924 = 19274^2 + 9118^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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 13 ways as a sum of consecutive naturals, for example, 123182 + ... + 126818.

Almost surely, 2454625000 is an apocalyptic number.

454625000 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 454625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532903335).

454625000 is an abundant number, since it is smaller than the sum of its proper divisors (611181670).

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

454625000 is an frugal number, since it uses more digits than its factorization.

454625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 454625000 is about 21321.9370602204. The cubic root of 454625000 is about 768.9258086019.

The spelling of 454625000 in words is "four hundred fifty-four million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 3637 5000 6250 7274 12500 14548 15625 18185 25000 29096 31250 36370 62500 72740 90925 125000 145480 181850 363700 454625 727400 909250 1818500 2273125 3637000 4546250 9092500 11365625 18185000 22731250 45462500 56828125 90925000 113656250 227312500 454625000