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402048009 = 331141137241
BaseRepresentation
bin10111111101101…
…100010000001001
31001000112011012000
4113331230100021
51310411014014
6103521141213
712651231426
oct2775542011
91030464160
10402048009
11196a44690
12b278a809
13653aa83c
143b578d4d
152546a509
hex17f6c409

402048009 has 64 divisors (see below), whose sum is σ = 673263360. Its totient is φ = 235008000.

The previous prime is 402048001. The next prime is 402048013. The reversal of 402048009 is 900840204.

It is not a de Polignac number, because 402048009 - 23 = 402048001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (402048001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1668129 + ... + 1668369.

It is an arithmetic number, because the mean of its divisors is an integer number (10519740).

Almost surely, 2402048009 is an apocalyptic number.

It is an amenable number.

402048009 is a deficient number, since it is larger than the sum of its proper divisors (271215351).

402048009 is a wasteful number, since it uses less digits than its factorization.

402048009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 402048009 is about 20051.1348556634. The cubic root of 402048009 is about 738.0616479667.

The spelling of 402048009 in words is "four hundred two million, forty-eight thousand, nine".

Divisors: 1 3 9 11 27 33 41 99 123 137 241 297 369 411 451 723 1107 1233 1353 1507 2169 2651 3699 4059 4521 5617 6507 7953 9881 12177 13563 16851 23859 29643 33017 40689 50553 61787 71577 88929 99051 108691 151659 185361 266787 297153 326073 363187 556083 891459 978219 1089561 1353697 1668249 2934657 3268683 4061091 9806049 12183273 14890667 36549819 44672001 134016003 402048009