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406888342884 = 223241225932
BaseRepresentation
bin1011110101111000110…
…11110110010101100100
31102220020202012110000100
411322330123312111210
523131301403433014
6510531045144100
741253033564222
oct5727433662544
91386222173010
10406888342884
11147618953361
1266a360bb030
132c4a577b88a
141599cd75b12
15a8b6509009
hex5ebc6f6564

406888342884 has 81 divisors (see below), whose sum is σ = 1054627818699. Its totient is φ = 132270382080.

The previous prime is 406888342873. The next prime is 406888342921. The reversal of 406888342884 is 488243888604.

The square root of 406888342884 is 637878.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 80015436900 + 326872905984 = 282870^2 + 571728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156916692 + ... + 156919284.

Almost surely, 2406888342884 is an apocalyptic number.

406888342884 is the 637878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406888342884

406888342884 is an abundant number, since it is smaller than the sum of its proper divisors (647739475815).

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

406888342884 is an equidigital number, since it uses as much as digits as its factorization.

406888342884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 63.

The spelling of 406888342884 in words is "four hundred six billion, eight hundred eighty-eight million, three hundred forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 2593 3362 5043 5186 6724 7779 10086 10372 15129 15558 20172 23337 30258 31116 46674 60516 93348 106313 212626 318939 425252 637878 956817 1275756 1913634 3827268 4358833 6723649 8717666 13076499 13447298 17435332 20170947 26152998 26894596 39229497 40341894 52305996 60512841 78458994 80683788 121025682 156917988 242051364 275669609 551339218 827008827 1102678436 1654017654 2481026481 3308035308 4962052962 9924105924 11302453969 22604907938 33907361907 45209815876 67814723814 101722085721 135629447628 203444171442 406888342884