Search a number
-
+
454442016 = 2537676253
BaseRepresentation
bin11011000101100…
…011110000100000
31011200010001020210
4123011203300200
51412314121031
6113032134120
714155456560
oct3305436040
91150101223
10454442016
11213580016
12108237340
13731c3802
14444d6da0
1529d69746
hex1b163c20

454442016 has 48 divisors (see below), whose sum is σ = 1363328064. Its totient is φ = 129840384.

The previous prime is 454442003. The next prime is 454442041. The reversal of 454442016 is 610244454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4544420162 = 413035091812288512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337455 + ... + 338798.

It is an arithmetic number, because the mean of its divisors is an integer number (28402668).

Almost surely, 2454442016 is an apocalyptic number.

It is an amenable number.

454442016 is an abundant number, since it is smaller than the sum of its proper divisors (908886048).

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

454442016 is a wasteful number, since it uses less digits than its factorization.

454442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676273 (or 676265 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 454442016 is about 21317.6456486170. The cubic root of 454442016 is about 768.8226319900.

The spelling of 454442016 in words is "four hundred fifty-four million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 676253 1352506 2028759 2705012 4057518 4733771 5410024 8115036 9467542 10820048 14201313 16230072 18935084 21640096 28402626 32460144 37870168 56805252 64920288 75740336 113610504 151480672 227221008 454442016