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4415245344 = 253215330713
BaseRepresentation
bin1000001110010101…
…10100110000100000
3102101201001200222100
410013022310300200
533020300322334
62010042010400
7214261652256
oct40712646040
912351050870
104415245344
1119663221a4
12a327a6a00
13554970213
142dc5665d6
151ac94ac99
hex1072b4c20

4415245344 has 36 divisors (see below), whose sum is σ = 12555854766. Its totient is φ = 1471748352.

The previous prime is 4415245343. The next prime is 4415245357. The reversal of 4415245344 is 4435425144.

4415245344 is a `hidden beast` number, since 4 + 41 + 524 + 53 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4285011600 + 130233744 = 65460^2 + 11412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4415245299 and 4415245308.

It is not an unprimeable number, because it can be changed into a prime (4415245343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7665069 + ... + 7665644.

Almost surely, 24415245344 is an apocalyptic number.

It is an amenable number.

4415245344 is an abundant number, since it is smaller than the sum of its proper divisors (8140609422).

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

4415245344 is a wasteful number, since it uses less digits than its factorization.

4415245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15330729 (or 15330718 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 4415245344 is about 66447.3125415919. The cubic root of 4415245344 is about 1640.5329102966.

The spelling of 4415245344 in words is "four billion, four hundred fifteen million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 15330713 30661426 45992139 61322852 91984278 122645704 137976417 183968556 245291408 275952834 367937112 490582816 551905668 735874224 1103811336 1471748448 2207622672 4415245344