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402041296 = 241713710789
BaseRepresentation
bin10111111101101…
…010100111010000
31001000111210222101
4113331222213100
51310410310141
6103521050144
712651203026
oct2775524720
91030453871
10402041296
11196a3a638
12b2786954
13653a7777
143b576716
1525468531
hex17f6a9d0

402041296 has 40 divisors (see below), whose sum is σ = 830873160. Its totient is φ = 187797504.

The previous prime is 402041287. The next prime is 402041303. The reversal of 402041296 is 692140204.

It can be written as a sum of positive squares in 4 ways, for example, as 113720896 + 288320400 = 10664^2 + 16980^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 31870 + ... + 42658.

It is an arithmetic number, because the mean of its divisors is an integer number (20771829).

Almost surely, 2402041296 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 402041296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415436580).

402041296 is an abundant number, since it is smaller than the sum of its proper divisors (428831864).

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

402041296 is a wasteful number, since it uses less digits than its factorization.

402041296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10951 (or 10945 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 402041296 is about 20050.9674579557. The cubic root of 402041296 is about 738.0575401360.

The spelling of 402041296 in words is "four hundred two million, forty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 137 272 274 548 1096 2192 2329 4658 9316 10789 18632 21578 37264 43156 86312 172624 183413 366826 733652 1467304 1478093 2934608 2956186 5912372 11824744 23649488 25127581 50255162 100510324 201020648 402041296