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916455425 = 52113401809
BaseRepresentation
bin110110101000000…
…000000000000001
32100212110202111112
4312220000000001
53334103033200
6230534453105
731465512464
oct6650000001
92325422445
10916455425
11430351586
12216b04195
13117b38622
1489a012db
15556cc535
hex36a00001

916455425 has 24 divisors (see below), whose sum is σ = 1150741080. Its totient is φ = 723968000.

The previous prime is 916455409. The next prime is 916455439. The reversal of 916455425 is 524554619.

It can be written as a sum of positive squares in 12 ways, for example, as 81072016 + 835383409 = 9004^2 + 28903^2 .

It is not a de Polignac number, because 916455425 - 24 = 916455409 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132421 + ... + 1133229.

It is an arithmetic number, because the mean of its divisors is an integer number (47947545).

It is a Proth number, since it is equal to 437 ⋅ 221 + 1 and 437 < 221.

Almost surely, 2916455425 is an apocalyptic number.

It is an amenable number.

916455425 is a deficient number, since it is larger than the sum of its proper divisors (234285655).

916455425 is a wasteful number, since it uses less digits than its factorization.

916455425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1328 counting only the distinct ones).

The product of its digits is 216000, while the sum is 41.

The square root of 916455425 is about 30273.0147986619. The cubic root of 916455425 is about 971.3381555894.

The spelling of 916455425 in words is "nine hundred sixteen million, four hundred fifty-five thousand, four hundred twenty-five".

Divisors: 1 5 25 113 401 565 809 2005 2825 4045 10025 20225 45313 91417 226565 324409 457085 1132825 1622045 2285425 8110225 36658217 183291085 916455425