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455152512 = 2734725219
BaseRepresentation
bin11011001000010…
…001001110000000
31011201110010212110
4123020101032000
51413004340022
6113055255320
714164506153
oct3310211600
91151403773
10455152512
11213a15901
1210851a540
13733b2019
144463dc9a
1529e5a00c
hex1b211380

455152512 has 64 divisors (see below), whose sum is σ = 1234771200. Its totient is φ = 148483584.

The previous prime is 455152493. The next prime is 455152513. The reversal of 455152512 is 215251554.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 455152512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455152513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5439 + ... + 30657.

It is an arithmetic number, because the mean of its divisors is an integer number (19293300).

Almost surely, 2455152512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617385600).

455152512 is an abundant number, since it is smaller than the sum of its proper divisors (779618688).

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

455152512 is a wasteful number, since it uses less digits than its factorization.

455152512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25283 (or 25271 counting only the distinct ones).

The product of its digits is 10000, while the sum is 30.

The square root of 455152512 is about 21334.3036446002. The cubic root of 455152512 is about 769.2230945039.

The spelling of 455152512 in words is "four hundred fifty-five million, one hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 25219 50438 75657 100876 151314 201752 302628 403504 605256 807008 1185293 1210512 1614016 2370586 2421024 3228032 3555879 4741172 4842048 7111758 9482344 9684096 14223516 18964688 28447032 37929376 56894064 75858752 113788128 151717504 227576256 455152512