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1454199648 = 253114493067
BaseRepresentation
bin101011010101101…
…0101001101100000
310202100022222220020
41112223111031200
510434233342043
6400144313440
751015331056
oct12653251540
93670288806
101454199648
116869487a0
12347012880
131a2377585
14db1c01d6
15879ede83
hex56ad5360

1454199648 has 96 divisors (see below), whose sum is σ = 4174934400. Its totient is φ = 439541760.

The previous prime is 1454199631. The next prime is 1454199667. The reversal of 1454199648 is 8469914541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14541996482 = 4229393232486647808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1454199648.

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, 472611 + ... + 475677.

It is an arithmetic number, because the mean of its divisors is an integer number (43488900).

Almost surely, 21454199648 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 1454199648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087467200).

1454199648 is an abundant number, since it is smaller than the sum of its proper divisors (2720734752).

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

1454199648 is a wasteful number, since it uses less digits than its factorization.

1454199648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3532 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 1454199648 is about 38133.9697382793. The cubic root of 1454199648 is about 1132.9428729512.

It can be divided in two parts, 1454 and 199648, that added together give a palindrome (201102).

The spelling of 1454199648 in words is "one billion, four hundred fifty-four million, one hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 449 528 898 1056 1347 1796 2694 3067 3592 4939 5388 6134 7184 9201 9878 10776 12268 14368 14817 18402 19756 21552 24536 29634 33737 36804 39512 43104 49072 59268 67474 73608 79024 98144 101211 118536 134948 147216 158048 202422 237072 269896 294432 404844 474144 539792 809688 1079584 1377083 1619376 2754166 3238752 4131249 5508332 8262498 11016664 15147913 16524996 22033328 30295826 33049992 44066656 45443739 60591652 66099984 90887478 121183304 132199968 181774956 242366608 363549912 484733216 727099824 1454199648