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429690045 = 35174173563
BaseRepresentation
bin11001100111001…
…000110010111101
31002221112111221010
4121213020302331
51340000040140
6110345425433
713435206441
oct3147106275
91087474833
10429690045
11200604544
12bba9b279
136b038485
14410d2821
1527aca880
hex199c8cbd

429690045 has 64 divisors (see below), whose sum is σ = 757257984. Its totient is φ = 207175680.

The previous prime is 429690031. The next prime is 429690059. The reversal of 429690045 is 540096924.

It is an interprime number because it is at equal distance from previous prime (429690031) and next prime (429690059).

It is not a de Polignac number, because 429690045 - 24 = 429690029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 429689985 and 429690012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 762934 + ... + 763496.

It is an arithmetic number, because the mean of its divisors is an integer number (11832156).

Almost surely, 2429690045 is an apocalyptic number.

It is an amenable number.

429690045 is a deficient number, since it is larger than the sum of its proper divisors (327567939).

429690045 is a wasteful number, since it uses less digits than its factorization.

429690045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 429690045 is about 20728.9663273401. The cubic root of 429690045 is about 754.6028319085.

The spelling of 429690045 in words is "four hundred twenty-nine million, six hundred ninety thousand, forty-five".

Divisors: 1 3 5 15 17 41 51 73 85 123 205 219 255 365 563 615 697 1095 1241 1689 2091 2815 2993 3485 3723 6205 8445 8979 9571 10455 14965 18615 23083 28713 41099 44895 47855 50881 69249 115415 123297 143565 152643 205495 254405 346245 392411 616485 698683 763215 1177233 1685059 1962055 2096049 3493415 5055177 5886165 8425295 10480245 25275885 28646003 85938009 143230015 429690045