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454000404 = 22311132311503
BaseRepresentation
bin11011000011110…
…111111100010100
31011122021121110210
4123003313330110
51412211003104
6113014445420
714151640224
oct3303677424
91148247423
10454000404
112132a9250
12108063870
137309a7c0
1444420084
1529ccd989
hex1b0f7f14

454000404 has 96 divisors (see below), whose sum is σ = 1298755584. Its totient is φ = 121461120.

The previous prime is 454000403. The next prime is 454000433. The reversal of 454000404 is 404000454.

It is a super-2 number, since 2×4540004042 = 412232733664326432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454000403) 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 31 ways as a sum of consecutive naturals, for example, 33717 + ... + 45219.

It is an arithmetic number, because the mean of its divisors is an integer number (13528704).

Almost surely, 2454000404 is an apocalyptic number.

454000404 is a gapful number since it is divisible by the number (44) 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 454000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649377792).

454000404 is an abundant number, since it is smaller than the sum of its proper divisors (844755180).

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

454000404 is a wasteful number, since it uses less digits than its factorization.

454000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 454000404 is about 21307.2852329901. The cubic root of 454000404 is about 768.5735123178.

Adding to 454000404 its reverse (404000454), we get a palindrome (858000858).

The spelling of 454000404 in words is "four hundred fifty-four million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 572 598 759 858 897 1012 1196 1518 1716 1794 3036 3289 3588 6578 9867 11503 13156 19734 23006 34509 39468 46012 69018 126533 138036 149539 253066 264569 299078 379599 448617 506132 529138 598156 759198 793707 897234 1058276 1518396 1587414 1644929 1794468 2910259 3174828 3289858 3439397 4934787 5820518 6579716 6878794 8730777 9869574 10318191 11641036 13757588 17461554 19739148 20636382 34923108 37833367 41272764 75666734 113500101 151333468 227000202 454000404