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446420429 = 72132313747
BaseRepresentation
bin11010100110111…
…101010111001101
31011010000111200222
4122212331113031
51403240423204
6112144201125
714030340200
oct3246752715
91133014628
10446420429
11209aa1304
121056091a5
1371645600
1443409937
15292d2abe
hex1a9bd5cd

446420429 has 72 divisors (see below), whose sum is σ = 608836608. Its totient is φ = 325503360.

The previous prime is 446420393. The next prime is 446420441. The reversal of 446420429 is 924024644.

It is not a de Polignac number, because 446420429 - 216 = 446354893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446420479) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9498284 + ... + 9498330.

It is an arithmetic number, because the mean of its divisors is an integer number (8456064).

Almost surely, 2446420429 is an apocalyptic number.

446420429 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

446420429 is a deficient number, since it is larger than the sum of its proper divisors (162416179).

446420429 is a wasteful number, since it uses less digits than its factorization.

446420429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 446420429 is about 21128.6636823061. The cubic root of 446420429 is about 764.2721252457.

The spelling of 446420429 in words is "four hundred forty-six million, four hundred twenty thousand, four hundred twenty-nine".

Divisors: 1 7 13 31 37 47 49 91 169 217 259 329 403 481 611 637 1147 1183 1457 1519 1739 1813 2303 2821 3367 4277 5239 6253 7943 8029 8281 10199 12173 14911 18941 19747 22607 23569 29939 36673 43771 53909 55601 56203 71393 85211 104377 132587 158249 193843 246233 256711 293891 306397 377363 389207 700817 730639 928109 1107743 1356901 1723631 2057237 2641541 4905719 9110621 9498307 12065417 14400659 34340033 63774347 446420429