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402132349 = 898535297
BaseRepresentation
bin10111111110000…
…000110101111101
31001000200102212201
4113332000311331
51310421213344
6103523031501
712652032343
oct2776006575
91030612781
10402132349
11196aa1a93
12b280b591
136540a048
143b59b993
15254854d4
hex17f80d7d

402132349 has 8 divisors (see below), whose sum is σ = 407204280. Its totient is φ = 397072896.

The previous prime is 402132347. The next prime is 402132361. The reversal of 402132349 is 943231204.

It can be written as a sum of positive squares in 4 ways, for example, as 6400900 + 395731449 = 2530^2 + 19893^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 402132349 - 21 = 402132347 is a prime.

It is a super-2 number, since 2×4021323492 = 323420852224515602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402132347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73269 + ... + 78565.

It is an arithmetic number, because the mean of its divisors is an integer number (50900535).

Almost surely, 2402132349 is an apocalyptic number.

It is an amenable number.

402132349 is a deficient number, since it is larger than the sum of its proper divisors (5071931).

402132349 is an equidigital number, since it uses as much as digits as its factorization.

402132349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 402132349 is about 20053.2378682346. The cubic root of 402132349 is about 738.1132535509.

The spelling of 402132349 in words is "four hundred two million, one hundred thirty-two thousand, three hundred forty-nine".

Divisors: 1 89 853 5297 75917 471433 4518341 402132349