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438540432 = 243111748857
BaseRepresentation
bin11010001000111…
…001100010010000
31010120012011101020
4122020321202100
51344231243212
6111303235440
713603350351
oct3210714220
91116164336
10438540432
112055a9a10
12102a48b80
136cb169a5
1442357d28
1528777d8c
hex1a239890

438540432 has 80 divisors (see below), whose sum is σ = 1308612672. Its totient is φ = 125071360.

The previous prime is 438540371. The next prime is 438540433. The reversal of 438540432 is 234045834.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 438540393 and 438540402.

It is not an unprimeable number, because it can be changed into a prime (438540433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15453 + ... + 33404.

Almost surely, 2438540432 is an apocalyptic number.

It is an amenable number.

438540432 is an abundant number, since it is smaller than the sum of its proper divisors (870072240).

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

438540432 is a wasteful number, since it uses less digits than its factorization.

438540432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48896 (or 48890 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 438540432 is about 20941.3569760892. The cubic root of 438540432 is about 759.7485502414.

The spelling of 438540432 in words is "four hundred thirty-eight million, five hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 48857 97714 146571 195428 293142 390856 537427 586284 781712 830569 1074854 1172568 1612281 1661138 2149708 2345136 2491707 3224562 3322276 4299416 4983414 6449124 6644552 8598832 9136259 9966828 12898248 13289104 18272518 19933656 25796496 27408777 36545036 39867312 54817554 73090072 109635108 146180144 219270216 438540432