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5454078432 = 2531144911503
BaseRepresentation
bin1010001010001011…
…01010000111100000
3112002002210220001220
411011011222013200
542132221002212
62301111455040
7252104621205
oct50505520740
915062726056
105454078432
112349759940
121082687480
1368bc55a5a
1439a501cac
1521dc4d38c
hex14516a1e0

5454078432 has 96 divisors (see below), whose sum is σ = 15654643200. Its totient is φ = 1648926720.

The previous prime is 5454078353. The next prime is 5454078439. The reversal of 5454078432 is 2348704545.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5454078439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468393 + ... + 479895.

It is an arithmetic number, because the mean of its divisors is an integer number (163069200).

Almost surely, 25454078432 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 5454078432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827321600).

5454078432 is an abundant number, since it is smaller than the sum of its proper divisors (10200564768).

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

5454078432 is a wasteful number, since it uses less digits than its factorization.

5454078432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11976 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The square root of 5454078432 is about 73851.7327623394. The cubic root of 5454078432 is about 1760.2477302804.

The spelling of 5454078432 in words is "five billion, four hundred fifty-four million, seventy-eight thousand, four hundred thirty-two".

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 3592 4939 5388 7184 9878 10776 11503 14368 14817 19756 21552 23006 29634 34509 39512 43104 46012 59268 69018 79024 92024 118536 126533 138036 158048 184048 237072 253066 276072 368096 379599 474144 506132 552144 759198 1012264 1104288 1518396 2024528 3036792 4049056 5164847 6073584 10329694 12147168 15494541 20659388 30989082 41318776 56813317 61978164 82637552 113626634 123956328 165275104 170439951 227253268 247912656 340879902 454506536 495825312 681759804 909013072 1363519608 1818026144 2727039216 5454078432