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402142005 = 32523537331
BaseRepresentation
bin10111111110000…
…011001100110101
31001000200221010100
4113332003030311
51310422021010
6103523144313
712652102446
oct2776031465
91030627110
10402142005
11196aa9271
12b2815099
1365411565
143b5a12cd
15254882c0
hex17f83335

402142005 has 48 divisors (see below), whose sum is σ = 741177216. Its totient is φ = 201252480.

The previous prime is 402142003. The next prime is 402142009. The reversal of 402142005 is 500241204.

It is not a de Polignac number, because 402142005 - 21 = 402142003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402142001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 51190 + ... + 58520.

It is an arithmetic number, because the mean of its divisors is an integer number (15441192).

Almost surely, 2402142005 is an apocalyptic number.

402142005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

402142005 is a deficient number, since it is larger than the sum of its proper divisors (339035211).

402142005 is a wasteful number, since it uses less digits than its factorization.

402142005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 402142005 is about 20053.4786259143. The cubic root of 402142005 is about 738.1191613609.

Adding to 402142005 its reverse (500241204), we get a palindrome (902383209).

The spelling of 402142005 in words is "four hundred two million, one hundred forty-two thousand, five".

Divisors: 1 3 5 9 15 23 45 53 69 115 159 207 265 345 477 795 1035 1219 2385 3657 6095 7331 10971 18285 21993 36655 54855 65979 109965 168613 329895 388543 505839 843065 1165629 1517517 1942715 2529195 3496887 5828145 7587585 8936489 17484435 26809467 44682445 80428401 134047335 402142005