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454585152 = 26372211229
BaseRepresentation
bin11011000110000…
…110101101000000
31011200101022121010
4123012012231000
51412333211102
6113035200520
714156624100
oct3306065500
91150338533
10454585152
1121366860a
121082a6140
13732439c8
1444533200
1529d96d6c
hex1b186b40

454585152 has 168 divisors, whose sum is σ = 1411894560. Its totient is φ = 128701440.

The previous prime is 454585073. The next prime is 454585169. The reversal of 454585152 is 251585454.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 454585152.

It is a congruent number.

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, 1984974 + ... + 1985202.

Almost surely, 2454585152 is an apocalyptic number.

454585152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705947280).

454585152 is an abundant number, since it is smaller than the sum of its proper divisors (957309408).

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

454585152 is a wasteful number, since it uses less digits than its factorization.

454585152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its digits is 160000, while the sum is 39.

The square root of 454585152 is about 21321.0026030672. The cubic root of 454585152 is about 768.9033424295.

The spelling of 454585152 in words is "four hundred fifty-four million, five hundred eighty-five thousand, one hundred fifty-two".