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413155405 = 51353119929
BaseRepresentation
bin11000101000000…
…100000001001101
31001210102110200001
4120220010001031
51321231433110
6104555204301
713144522465
oct3050040115
91053373601
10413155405
111a2240853
12b6446691
1367799470
143cc2aba5
152641163a
hex18a0404d

413155405 has 16 divisors (see below), whose sum is σ = 544002480. Its totient is φ = 299340288.

The previous prime is 413155349. The next prime is 413155409. The reversal of 413155405 is 504551314.

It can be written as a sum of positive squares in 8 ways, for example, as 32046921 + 381108484 = 5661^2 + 19522^2 .

It is not a de Polignac number, because 413155405 - 27 = 413155277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413155409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56520 + ... + 63409.

It is an arithmetic number, because the mean of its divisors is an integer number (34000155).

Almost surely, 2413155405 is an apocalyptic number.

It is an amenable number.

413155405 is a deficient number, since it is larger than the sum of its proper divisors (130847075).

413155405 is a wasteful number, since it uses less digits than its factorization.

413155405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120000.

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 413155405 is about 20326.2245633566. The cubic root of 413155405 is about 744.7968186067.

It can be divided in two parts, 4131 and 55405, that added together give a square (59536 = 2442).

The spelling of 413155405 in words is "four hundred thirteen million, one hundred fifty-five thousand, four hundred five".

Divisors: 1 5 13 53 65 265 689 3445 119929 599645 1559077 6356237 7795385 31781185 82631081 413155405