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454005054 = 23341474363
BaseRepresentation
bin11011000011111…
…001000100111110
31011122021211212000
4123003321010332
51412211130204
6113014523130
714151656616
oct3303710476
91148254760
10454005054
11213301798
121080664a6
137309c959
1444421a46
1529cd0039
hex1b0f913e

454005054 has 64 divisors (see below), whose sum is σ = 1055738880. Its totient is φ = 144469440.

The previous prime is 454005053. The next prime is 454005067. The reversal of 454005054 is 450500454.

It is a super-2 number, since 2×4540050542 = 412241178115085832, which contains 22 as substring.

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 (454005053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101877 + ... + 106239.

It is an arithmetic number, because the mean of its divisors is an integer number (16495920).

Almost surely, 2454005054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454005054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527869440).

454005054 is an abundant number, since it is smaller than the sum of its proper divisors (601733826).

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

454005054 is a wasteful number, since it uses less digits than its factorization.

454005054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 454005054 is about 21307.3943503189. The cubic root of 454005054 is about 768.5761362910.

The spelling of 454005054 in words is "four hundred fifty-four million, five thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 41 47 54 82 94 123 141 246 282 369 423 738 846 1107 1269 1927 2214 2538 3854 4363 5781 8726 11562 13089 17343 26178 34686 39267 52029 78534 104058 117801 178883 205061 235602 357766 410122 536649 615183 1073298 1230366 1609947 1845549 3219894 3691098 4829841 5536647 8407501 9659682 11073294 16815002 25222503 50445006 75667509 151335018 227002527 454005054