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409142433 = 37316110303
BaseRepresentation
bin11000011000110…
…000010010100001
31001111212120220110
4120120300102201
51314220024213
6104333201533
713065440040
oct3030602241
91044776813
10409142433
1119aa4a847
12b50302a9
13669c2a1b
143c4a4557
1525dbc5c3
hex186304a1

409142433 has 32 divisors (see below), whose sum is σ = 654180352. Its totient is φ = 222523200.

The previous prime is 409142413. The next prime is 409142449. The reversal of 409142433 is 334241904.

It is not a de Polignac number, because 409142433 - 222 = 404948129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409142433.

It is not an unprimeable number, because it can be changed into a prime (409142413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34560 + ... + 44862.

It is an arithmetic number, because the mean of its divisors is an integer number (20443136).

Almost surely, 2409142433 is an apocalyptic number.

It is an amenable number.

409142433 is a deficient number, since it is larger than the sum of its proper divisors (245037919).

409142433 is a wasteful number, since it uses less digits than its factorization.

409142433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10405.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 409142433 is about 20227.2695389170. The cubic root of 409142433 is about 742.3775689483.

The spelling of 409142433 in words is "four hundred nine million, one hundred forty-two thousand, four hundred thirty-three".

Divisors: 1 3 7 21 31 61 93 183 217 427 651 1281 1891 5673 10303 13237 30909 39711 72121 216363 319393 628483 958179 1885449 2235751 4399381 6707253 13198143 19482973 58448919 136380811 409142433