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916507417 = 72171100249
BaseRepresentation
bin110110101000001…
…100101100011001
32100212120101211011
4312220030230121
53334111214132
6230535533521
731466120200
oct6650145431
92325511734
10916507417
11430387651
12216b2a2a1
13117b561a7
1489a16237
15556dcb47
hex36a0cb19

916507417 has 12 divisors (see below), whose sum is σ = 1128856500. Its totient is φ = 739366656.

The previous prime is 916507393. The next prime is 916507433. The reversal of 916507417 is 714705619.

It can be written as a sum of positive squares in 2 ways, for example, as 652087296 + 264420121 = 25536^2 + 16261^2 .

It is not a de Polignac number, because 916507417 - 215 = 916474649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 916507417.

It is not an unprimeable number, because it can be changed into a prime (916507447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549292 + ... + 550957.

It is an arithmetic number, because the mean of its divisors is an integer number (94071375).

Almost surely, 2916507417 is an apocalyptic number.

It is an amenable number.

916507417 is a deficient number, since it is larger than the sum of its proper divisors (212349083).

916507417 is a wasteful number, since it uses less digits than its factorization.

916507417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100280 (or 1100273 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 916507417 is about 30273.8735050538. The cubic root of 916507417 is about 971.3565237707.

The spelling of 916507417 in words is "nine hundred sixteen million, five hundred seven thousand, four hundred seventeen".

Divisors: 1 7 17 49 119 833 1100249 7701743 18704233 53912201 130929631 916507417