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455452002 = 232195325127
BaseRepresentation
bin11011001001011…
…010010101100010
31011202000100200200
4123021122111202
51413043431002
6113105530030
714200164255
oct3311322542
91152010620
10455452002
112140aa915
12108643916
1373488435
14446bb09c
1529eb8b1c
hex1b25a562

455452002 has 48 divisors (see below), whose sum is σ = 1058391360. Its totient is φ = 141107616.

The previous prime is 455451991. The next prime is 455452033. The reversal of 455452002 is 200254554.

455452002 is a `hidden beast` number, since 455 + 4 + 5 + 200 + 2 = 666.

It is a super-3 number, since 3×4554520023 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5563 + ... + 30689.

It is an arithmetic number, because the mean of its divisors is an integer number (22049820).

Almost surely, 2455452002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455452002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529195680).

455452002 is an abundant number, since it is smaller than the sum of its proper divisors (602939358).

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

455452002 is a wasteful number, since it uses less digits than its factorization.

455452002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25207 (or 25204 counting only the distinct ones).

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

The square root of 455452002 is about 21341.3214679879. The cubic root of 455452002 is about 769.3917735790.

The spelling of 455452002 in words is "four hundred fifty-five million, four hundred fifty-two thousand, two".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 477 954 1007 2014 3021 6042 9063 18126 25127 50254 75381 150762 226143 452286 477413 954826 1331731 1432239 2663462 2864478 3995193 4296717 7990386 8593434 11985579 23971158 25302889 50605778 75908667 151817334 227726001 455452002