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450144054 = 23417792069
BaseRepresentation
bin11010110101001…
…010011100110110
31011101000200120000
4122311022130312
51410214102204
6112400052130
714104106223
oct3265123466
91141020500
10450144054
11211104988
12106904046
137234a439
1443ad894a
15297bb039
hex1ad4a736

450144054 has 80 divisors (see below), whose sum is σ = 1082030400. Its totient is φ = 139366656.

The previous prime is 450144053. The next prime is 450144083. The reversal of 450144054 is 450441054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450144053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216532 + ... + 218600.

It is an arithmetic number, because the mean of its divisors is an integer number (13525380).

Almost surely, 2450144054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450144054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541015200).

450144054 is an abundant number, since it is smaller than the sum of its proper divisors (631886346).

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

450144054 is a wasteful number, since it uses less digits than its factorization.

450144054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 450144054 is about 21216.5985492491. The cubic root of 450144054 is about 766.3911939948.

The spelling of 450144054 in words is "four hundred fifty million, one hundred forty-four thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 81 102 153 158 162 237 306 459 474 711 918 1343 1377 1422 2069 2133 2686 2754 4029 4138 4266 6207 6399 8058 12087 12414 12798 18621 24174 35173 36261 37242 55863 70346 72522 105519 108783 111726 163451 167589 211038 217566 316557 326902 335178 490353 633114 949671 980706 1471059 1899342 2778667 2849013 2942118 4413177 5557334 5698026 8336001 8826354 13239531 16672002 25008003 26479062 50016006 75024009 150048018 225072027 450144054