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429850164 = 223375961269
BaseRepresentation
bin11001100111101…
…111111000110100
31002221211122120110
4121213233320310
51340020201124
6110353103020
713436444322
oct3147577064
91087748513
10429850164
11200703877
12bbb57a70
136b093313
1441134d12
1527b0d029
hex199efe34

429850164 has 96 divisors (see below), whose sum is σ = 1068681600. Its totient is φ = 134300160.

The previous prime is 429850163. The next prime is 429850177. The reversal of 429850164 is 461058924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429850163) 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, 1597822 + ... + 1598090.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2429850164 is an apocalyptic number.

It is an amenable number.

429850164 is an abundant number, since it is smaller than the sum of its proper divisors (638831436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429850164 is a wasteful number, since it uses less digits than its factorization.

429850164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 429850164 is about 20732.8281717666. The cubic root of 429850164 is about 754.6965515925.

The spelling of 429850164 in words is "four hundred twenty-nine million, eight hundred fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 37 59 61 74 111 118 122 148 177 183 222 236 244 269 354 366 444 538 708 732 807 1076 1614 2183 2257 3228 3599 4366 4514 6549 6771 7198 8732 9028 9953 10797 13098 13542 14396 15871 16409 19906 21594 26196 27084 29859 31742 32818 39812 43188 47613 49227 59718 63484 65636 95226 98454 119436 133163 190452 196908 266326 399489 532652 587227 607133 798978 968131 1174454 1214266 1597956 1761681 1821399 1936262 2348908 2428532 2904393 3523362 3642798 3872524 5808786 7046724 7285596 11617572 35820847 71641694 107462541 143283388 214925082 429850164