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454045400 = 235273137227
BaseRepresentation
bin11011000100000…
…010111011011000
31011122100220012022
4123010002323120
51412213423100
6113015434012
714152215344
oct3304027330
91148326168
10454045400
1121332a036
12108085908
13730b5123
1444432624
1529cdbe85
hex1b102ed8

454045400 has 96 divisors (see below), whose sum is σ = 1082676240. Its totient is φ = 177039360.

The previous prime is 454045363. The next prime is 454045429. The reversal of 454045400 is 4540454.

It is a super-2 number, since 2×4540454002 = 412314450522320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 454045400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2000087 + ... + 2000313.

Almost surely, 2454045400 is an apocalyptic number.

454045400 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 454045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541338120).

454045400 is an abundant number, since it is smaller than the sum of its proper divisors (628630840).

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

454045400 is a wasteful number, since it uses less digits than its factorization.

454045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 454045400 is about 21308.3410898174. The cubic root of 454045400 is about 768.5989025972.

Adding to 454045400 its reverse (4540454), we get a palindrome (458585854).

454045400 divided by its reverse (4540454) gives a square (100 = 102).

The spelling of 454045400 in words is "four hundred fifty-four million, forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 137 146 200 227 274 292 365 454 548 584 685 730 908 1096 1135 1370 1460 1816 1825 2270 2740 2920 3425 3650 4540 5480 5675 6850 7300 9080 10001 11350 13700 14600 16571 20002 22700 27400 31099 33142 40004 45400 50005 62198 66284 80008 82855 100010 124396 132568 155495 165710 200020 248792 250025 310990 331420 400040 414275 500050 621980 662840 777475 828550 1000100 1243960 1554950 1657100 2000200 2270227 3109900 3314200 4540454 6219800 9080908 11351135 18161816 22702270 45404540 56755675 90809080 113511350 227022700 454045400