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402054212 = 2272191071009
BaseRepresentation
bin10111111101101…
…101110001000100
31001000112110200202
4113331231301010
51310411213322
6103521230032
712651255500
oct2775556104
91030473622
10402054212
11196a4930a
12b2792318
13653b0601
143b57b300
152546c292
hex17f6dc44

402054212 has 72 divisors (see below), whose sum is σ = 870458400. Its totient is φ = 161554176.

The previous prime is 402054209. The next prime is 402054251. The reversal of 402054212 is 212450204.

It is a happy number.

It is a super-4 number, since 4×4020542124 (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397964 + ... + 398972.

It is an arithmetic number, because the mean of its divisors is an integer number (12089700).

Almost surely, 2402054212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402054212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435229200).

402054212 is an abundant number, since it is smaller than the sum of its proper divisors (468404188).

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

402054212 is a wasteful number, since it uses less digits than its factorization.

402054212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 402054212 is about 20051.2895345910. The cubic root of 402054212 is about 738.0654436766.

The spelling of 402054212 in words is "four hundred two million, fifty-four thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 107 133 196 214 266 428 532 749 931 1009 1498 1862 2018 2033 2996 3724 4036 4066 5243 7063 8132 10486 14126 14231 19171 20972 28252 28462 38342 49441 56924 76684 98882 99617 107963 134197 197764 199234 215926 268394 398468 431852 536788 755741 939379 1511482 1878758 2051297 3022964 3757516 4102594 5290187 8205188 10580374 14359079 21160748 28718158 57436316 100513553 201027106 402054212