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454040454 = 237171933469
BaseRepresentation
bin11011000100000…
…001101110000110
31011122100122102010
4123010001232012
51412213243304
6113015355050
714152165050
oct3304015606
91148318363
10454040454
1121332634a
12108082a86
13730b2aba
14444308d0
1529cda789
hex1b101b86

454040454 has 64 divisors (see below), whose sum is σ = 1156723200. Its totient is φ = 115665408.

The previous prime is 454040449. The next prime is 454040513.

It is a happy number.

454040454 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4540404542 = 412305467737052232, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3169 + ... + 30300.

It is an arithmetic number, because the mean of its divisors is an integer number (18073800).

Almost surely, 2454040454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454040454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578361600).

454040454 is an abundant number, since it is smaller than the sum of its proper divisors (702682746).

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

454040454 is a wasteful number, since it uses less digits than its factorization.

454040454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33517.

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 454040454 is about 21308.2250316632. The cubic root of 454040454 is about 768.5961117574.

The spelling of 454040454 in words is "four hundred fifty-four million, forty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1938 2261 4522 6783 13566 33469 66938 100407 200814 234283 468566 568973 635911 702849 1137946 1271822 1405698 1706919 1907733 3413838 3815466 3982811 4451377 7965622 8902754 10810487 11948433 13354131 21620974 23896866 26708262 32431461 64862922 75673409 151346818 227020227 454040454