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455796032 = 26101107659
BaseRepresentation
bin11011001010101…
…110010101000000
31011202122211121112
4123022232111000
51413140433112
6113121142452
714203126256
oct3312562500
91152584545
10455796032
1121431533a
1210878aa28
1373578bc3
144476a5d6
152a035a22
hex1b2ae540

455796032 has 56 divisors (see below), whose sum is σ = 923361120. Its totient is φ = 223193600.

The previous prime is 455796031. The next prime is 455796041. The reversal of 455796032 is 230697554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455796031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691319 + ... + 691977.

Almost surely, 2455796032 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 455796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461680560).

455796032 is an abundant number, since it is smaller than the sum of its proper divisors (467565088).

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

455796032 is a wasteful number, since it uses less digits than its factorization.

455796032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 455796032 is about 21349.3801315167. The cubic root of 455796032 is about 769.5854472866.

The spelling of 455796032 in words is "four hundred fifty-five million, seven hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 101 107 202 214 404 428 659 808 856 1318 1616 1712 2636 3232 3424 5272 6464 6848 10544 10807 21088 21614 42176 43228 66559 70513 86456 133118 141026 172912 266236 282052 345824 532472 564104 691648 1064944 1128208 2129888 2256416 4259776 4512832 7121813 14243626 28487252 56974504 113949008 227898016 455796032