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405112253 = 7213635969
BaseRepresentation
bin11000001001011…
…000010110111101
31001020021211112112
4120021120112331
51312202043003
6104110543405
713016253200
oct3011302675
91036254475
10405112253
11198747917
12b3807b65
1365c114c0
143bb35937
15258733d8
hex182585bd

405112253 has 12 divisors (see below), whose sum is σ = 507504060. Its totient is φ = 320527872.

The previous prime is 405112219. The next prime is 405112289. The reversal of 405112253 is 352211504.

It can be written as a sum of positive squares in 2 ways, for example, as 186131449 + 218980804 = 13643^2 + 14798^2 .

It is not a de Polignac number, because 405112253 - 26 = 405112189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405112853) 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, 317348 + ... + 318621.

It is an arithmetic number, because the mean of its divisors is an integer number (42292005).

Almost surely, 2405112253 is an apocalyptic number.

It is an amenable number.

405112253 is a deficient number, since it is larger than the sum of its proper divisors (102391807).

405112253 is a wasteful number, since it uses less digits than its factorization.

405112253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635996 (or 635989 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 405112253 is about 20127.4005524807. The cubic root of 405112253 is about 739.9319714673.

Adding to 405112253 its reverse (352211504), we get a palindrome (757323757).

The spelling of 405112253 in words is "four hundred five million, one hundred twelve thousand, two hundred fifty-three".

Divisors: 1 7 13 49 91 637 635969 4451783 8267597 31162481 57873179 405112253