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45417316 = 22744729
BaseRepresentation
bin1010110101000…
…0001101100100
310011110102211211
42231100031210
543111323231
64301241204
71061020000
oct255201544
9104412754
1045417316
112370077a
1213263204
139542569
146063700
153ec1eb1
hex2b50364

45417316 has 30 divisors (see below), whose sum is σ = 92741110. Its totient is φ = 19460448.

The previous prime is 45417313. The next prime is 45417347. The reversal of 45417316 is 61371454.

It can be written as a sum of positive squares in only one way, i.e., 25969216 + 19448100 = 5096^2 + 4410^2 .

It is a super-3 number, since 3×454173163 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45417311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7240 + ... + 11968.

Almost surely, 245417316 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 45417316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46370555).

45417316 is an abundant number, since it is smaller than the sum of its proper divisors (47323794).

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

45417316 is an equidigital number, since it uses as much as digits as its factorization.

45417316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4738 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 45417316 is about 6739.2370488060. The cubic root of 45417316 is about 356.7854663890.

The spelling of 45417316 in words is "forty-five million, four hundred seventeen thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4729 4802 9458 9604 18916 33103 66206 132412 231721 463442 926884 1622047 3244094 6488188 11354329 22708658 45417316