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448137684 = 2235538699
BaseRepresentation
bin11010101101100…
…000100111010100
31011020020202100000
4122231200213110
51404210401214
6112245051300
714051051601
oct3255404724
91136222300
10448137684
1120aa64525
121060b6b30
1371ac7137
14437356a8
1529521809
hex1ab609d4

448137684 has 72 divisors (see below), whose sum is σ = 1197050400. Its totient is φ = 146543904.

The previous prime is 448137623. The next prime is 448137733. The reversal of 448137684 is 486731844.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47167 + ... + 55865.

It is an arithmetic number, because the mean of its divisors is an integer number (16625700).

Almost surely, 2448137684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448137684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598525200).

448137684 is an abundant number, since it is smaller than the sum of its proper divisors (748912716).

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

448137684 is a wasteful number, since it uses less digits than its factorization.

448137684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8771 (or 8757 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 448137684 is about 21169.2627174401. The cubic root of 448137684 is about 765.2508519899.

The spelling of 448137684 in words is "four hundred forty-eight million, one hundred thirty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 954 972 1431 1908 2862 4293 5724 8586 8699 12879 17172 17398 25758 26097 34796 51516 52194 78291 104388 156582 234873 313164 461047 469746 704619 922094 939492 1383141 1409238 1844188 2113857 2766282 2818476 4149423 4227714 5532564 8298846 8455428 12448269 16597692 24896538 37344807 49793076 74689614 112034421 149379228 224068842 448137684