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1474790409 = 341722512
BaseRepresentation
bin101011111100111…
…1000010000001001
310210210002010010000
41113321320100021
511010021243114
6402201513213
751355340331
oct12771702011
93723063100
101474790409
11697531954
12351aa2809
131a6706861
14ddc200c1
1589719e09
hex57e78409

1474790409 has 45 divisors (see below), whose sum is σ = 2349659191. Its totient is φ = 921672000.

The previous prime is 1474790371. The next prime is 1474790411. The reversal of 1474790409 is 9040974741.

The square root of 1474790409 is 38403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1148193225 + 326597184 = 33885^2 + 18072^2 .

It is not a de Polignac number, because 1474790409 - 27 = 1474790281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1474790489) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5875534 + ... + 5875784.

Almost surely, 21474790409 is an apocalyptic number.

1474790409 is the 38403-rd square number.

1474790409 is the 19202-nd centered octagonal number.

It is an amenable number.

1474790409 is a deficient number, since it is larger than the sum of its proper divisors (874868782).

1474790409 is an frugal number, since it uses more digits than its factorization.

1474790409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The cubic root of 1474790409 is about 1138.2651382200.

Multiplying 1474790409 by its product of nonzero digits (254016), we get a square (374620360532544 = 193551122).

The spelling of 1474790409 in words is "one billion, four hundred seventy-four million, seven hundred ninety thousand, four hundred nine".

Divisors: 1 3 9 17 27 51 81 153 251 289 459 753 867 1377 2259 2601 4267 6777 7803 12801 20331 23409 38403 63001 72539 115209 189003 217617 345627 567009 652851 1071017 1701027 1958553 3213051 5103081 5875659 9639153 18207289 28917459 54621867 86752377 163865601 491596803 1474790409