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405135252 = 223219592303
BaseRepresentation
bin11000001001011…
…101111110010100
31001020100000002100
4120021131332110
51312203312002
6104111242100
713016410224
oct3011357624
91036300070
10405135252
11198763125
12b3819330
1365c1bb02
143bb40084
152587a11c
hex1825df94

405135252 has 36 divisors (see below), whose sum is σ = 1077993280. Its totient is φ = 127937232.

The previous prime is 405135223. The next prime is 405135281. The reversal of 405135252 is 252531504.

It is a happy number.

405135252 is a `hidden beast` number, since 405 + 1 + 3 + 5 + 252 = 666.

It is an interprime number because it is at equal distance from previous prime (405135223) and next prime (405135281).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295468 + ... + 296835.

Almost surely, 2405135252 is an apocalyptic number.

It is an amenable number.

405135252 is an abundant number, since it is smaller than the sum of its proper divisors (672858028).

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

405135252 is a wasteful number, since it uses less digits than its factorization.

405135252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592332 (or 592327 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 405135252 is about 20127.9718799486. The cubic root of 405135252 is about 739.9459736549.

Adding to 405135252 its reverse (252531504), we get a palindrome (657666756).

The spelling of 405135252 in words is "four hundred five million, one hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 592303 1184606 1776909 2369212 3553818 5330727 7107636 10661454 11253757 21322908 22507514 33761271 45015028 67522542 101283813 135045084 202567626 405135252