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402000416 = 2512562513
BaseRepresentation
bin10111111101100…
…000101000100000
31001000102201220022
4113331200220200
51310403003131
6103520133012
712650642606
oct2775405040
91030381808
10402000416
11196a11954
12b2767168
1365391c8c
143b565876
152545b37b
hex17f60a20

402000416 has 12 divisors (see below), whose sum is σ = 791438382. Its totient is φ = 201000192.

The previous prime is 402000413. The next prime is 402000433. The reversal of 402000416 is 614000204.

It can be written as a sum of positive squares in only one way, i.e., 268828816 + 133171600 = 16396^2 + 11540^2 .

It is a junction number, because it is equal to n+sod(n) for n = 402000394 and 402000403.

It is not an unprimeable number, because it can be changed into a prime (402000413) 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 as a sum of consecutive naturals, namely, 6281225 + ... + 6281288.

Almost surely, 2402000416 is an apocalyptic number.

It is an amenable number.

402000416 is a deficient number, since it is larger than the sum of its proper divisors (389437966).

402000416 is a wasteful number, since it uses less digits than its factorization.

402000416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562523 (or 12562515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 402000416 is about 20049.9480298578. The cubic root of 402000416 is about 738.0325237880.

The spelling of 402000416 in words is "four hundred two million, four hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 12562513 25125026 50250052 100500104 201000208 402000416