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406878813 = 321131233569
BaseRepresentation
bin11000010000000…
…111101001011101
31001100121120210200
4120100013221131
51313130110223
6104212454113
713040261415
oct3020075135
91040546720
10406878813
11199744090
12b431a339
13663ac5c3
143c075645
1525ac1a43
hex18407a5d

406878813 has 48 divisors (see below), whose sum is σ = 665832960. Its totient is φ = 237196800.

The previous prime is 406878811. The next prime is 406878841. The reversal of 406878813 is 318878604.

It is not a de Polignac number, because 406878813 - 21 = 406878811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406878811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714793 + ... + 715361.

It is an arithmetic number, because the mean of its divisors is an integer number (13871520).

Almost surely, 2406878813 is an apocalyptic number.

It is an amenable number.

406878813 is a deficient number, since it is larger than the sum of its proper divisors (258954147).

406878813 is a wasteful number, since it uses less digits than its factorization.

406878813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 406878813 is about 20171.2372699346. The cubic root of 406878813 is about 741.0059444304.

The spelling of 406878813 in words is "four hundred six million, eight hundred seventy-eight thousand, eight hundred thirteen".

Divisors: 1 3 9 11 31 33 93 99 233 279 341 569 699 1023 1707 2097 2563 3069 5121 6259 7223 7689 17639 18777 21669 23067 52917 56331 65007 79453 132577 158751 194029 238359 397731 582087 715077 1193193 1458347 1746261 4109887 4375041 12329661 13125123 36988983 45208757 135626271 406878813