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438144980 = 225713240739
BaseRepresentation
bin11010000111011…
…000111111010100
31010112110001220212
4122013120333110
51344131114410
6111250544552
713600112420
oct3207307724
91115401825
10438144980
11205359899
12102898158
136ca089b0
1442293b80
15286eab05
hex1a1d8fd4

438144980 has 48 divisors (see below), whose sum is σ = 1132440960. Its totient is φ = 138665088.

The previous prime is 438144943. The next prime is 438145007. The reversal of 438144980 is 89441834.

It is a super-3 number, since 3×4381449803 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118550 + ... + 122189.

It is an arithmetic number, because the mean of its divisors is an integer number (23592520).

Almost surely, 2438144980 is an apocalyptic number.

It is an amenable number.

438144980 is an abundant number, since it is smaller than the sum of its proper divisors (694295980).

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

438144980 is a wasteful number, since it uses less digits than its factorization.

438144980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240768 (or 240766 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 438144980 is about 20931.9129560583. The cubic root of 438144980 is about 759.5201148718.

The spelling of 438144980 in words is "four hundred thirty-eight million, one hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 240739 481478 962956 1203695 1685173 2407390 3129607 3370346 4814780 6259214 6740692 8425865 12518428 15648035 16851730 21907249 31296070 33703460 43814498 62592140 87628996 109536245 219072490 438144980