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442153401 = 3295395891
BaseRepresentation
bin11010010110101…
…011100110111001
31010210222201102220
4122112223212321
51401142402101
6111512514253
713646145654
oct3226534671
91123881386
10442153401
11207647438
121040ab989
13707b0341
1442a1889b
1528c3d636
hex1a5ab9b9

442153401 has 16 divisors (see below), whose sum is σ = 621380160. Its totient is φ = 279231680.

The previous prime is 442153381. The next prime is 442153433. The reversal of 442153401 is 104351244.

It is a cyclic number.

It is not a de Polignac number, because 442153401 - 27 = 442153273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442153001) 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 15 ways as a sum of consecutive naturals, for example, 43335 + ... + 52556.

It is an arithmetic number, because the mean of its divisors is an integer number (38836260).

Almost surely, 2442153401 is an apocalyptic number.

It is an amenable number.

442153401 is a deficient number, since it is larger than the sum of its proper divisors (179226759).

442153401 is a wasteful number, since it uses less digits than its factorization.

442153401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95976.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 442153401 is about 21027.4439958831. The cubic root of 442153401 is about 761.8292736880.

The spelling of 442153401 in words is "four hundred forty-two million, one hundred fifty-three thousand, four hundred one".

Divisors: 1 3 29 53 87 159 1537 4611 95891 287673 2780839 5082223 8342517 15246669 147384467 442153401