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416431253 = 7214535849
BaseRepresentation
bin11000110100100…
…011110010010101
31002000120220021202
4120310203302111
51323101300003
6105153322245
713214415200
oct3064436225
91060526252
10416431253
111a4078a67
12b7566385
1368375534
143d440937
152685c088
hex18d23c95

416431253 has 12 divisors (see below), whose sum is σ = 484836300. Its totient is φ = 356634432.

The previous prime is 416431217. The next prime is 416431283. The reversal of 416431253 is 352134614.

It can be written as a sum of positive squares in 2 ways, for example, as 301126609 + 115304644 = 17353^2 + 10738^2 .

It is not a de Polignac number, because 416431253 - 210 = 416430229 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416431283) 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, 68273 + ... + 74121.

It is an arithmetic number, because the mean of its divisors is an integer number (40403025).

Almost surely, 2416431253 is an apocalyptic number.

It is an amenable number.

416431253 is a deficient number, since it is larger than the sum of its proper divisors (68405047).

416431253 is a wasteful number, since it uses less digits than its factorization.

416431253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7316 (or 7309 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 416431253 is about 20406.6472748465. The cubic root of 416431253 is about 746.7601000700.

Adding to 416431253 its reverse (352134614), we get a palindrome (768565867).

The spelling of 416431253 in words is "four hundred sixteen million, four hundred thirty-one thousand, two hundred fifty-three".

Divisors: 1 7 49 1453 5849 10171 40943 71197 286601 8498597 59490179 416431253