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4675575348 = 22321718142209
BaseRepresentation
bin1000101101010111…
…11001111000110100
3110001211220211121100
410112223321320310
534033421402343
62051541450100
7223602510003
oct42653717064
913054824540
104675575348
111a8a270a64
12aa5a10930
1359688b742
14324d70c3a
151c57209d3
hex116af9e34

4675575348 has 72 divisors (see below), whose sum is σ = 12583476360. Its totient is φ = 1458708480.

The previous prime is 4675575251. The next prime is 4675575353. The reversal of 4675575348 is 8435755764.

4675575348 is a `hidden beast` number, since 4 + 67 + 5 + 575 + 3 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 586995984 + 4088579364 = 24228^2 + 63942^2 .

It is a super-2 number, since 2×46755753482 = 43722009669650642208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4675575294 and 4675575303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89668 + ... + 131876.

It is an arithmetic number, because the mean of its divisors is an integer number (174770505).

Almost surely, 24675575348 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 4675575348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291738180).

4675575348 is an abundant number, since it is smaller than the sum of its proper divisors (7907901012).

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

4675575348 is a wasteful number, since it uses less digits than its factorization.

4675575348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42417 (or 42412 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The square root of 4675575348 is about 68378.1788877124. The cubic root of 4675575348 is about 1672.1620136536.

The spelling of 4675575348 in words is "four billion, six hundred seventy-five million, five hundred seventy-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 181 204 306 362 543 612 724 1086 1629 2172 3077 3258 6154 6516 9231 12308 18462 27693 36924 42209 55386 84418 110772 126627 168836 253254 379881 506508 717553 759762 1435106 1519524 2152659 2870212 4305318 6457977 7639829 8610636 12915954 15279658 22919487 25831908 30559316 45838974 68758461 91677948 129877093 137516922 259754186 275033844 389631279 519508372 779262558 1168893837 1558525116 2337787674 4675575348