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5455087040 = 265133893371
BaseRepresentation
bin1010001010010011…
…00000010111000000
3112002011201010121202
411011021200113000
542133000241130
62301145240332
7252116321564
oct50511402700
915064633552
105455087040
11234a2886a7
121082a930a8
1368c219b70
1439a6c56a4
1521dd9c145
hex1452605c0

5455087040 has 112 divisors (see below), whose sum is σ = 14029273440. Its totient is φ = 2008412160.

The previous prime is 5455087039. The next prime is 5455087061. The reversal of 5455087040 is 407805545.

It is a super-2 number, since 2×54550870402 = 59515949227951923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5455086985 and 5455087003.

It is a congruent number.

It is an unprimeable number.

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, 1616555 + ... + 1619925.

It is an arithmetic number, because the mean of its divisors is an integer number (125261370).

Almost surely, 25455087040 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 5455087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014636720).

5455087040 is an abundant number, since it is smaller than the sum of its proper divisors (8574186400).

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

5455087040 is a wasteful number, since it uses less digits than its factorization.

5455087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 5455087040 is about 73858.5610474507. The cubic root of 5455087040 is about 1760.3562295460.

The spelling of 5455087040 in words is "five billion, four hundred fifty-five million, eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 389 416 520 778 832 1040 1556 1945 2080 3112 3371 3890 4160 5057 6224 6742 7780 10114 12448 13484 15560 16855 20228 24896 25285 26968 31120 33710 40456 43823 50570 53936 62240 67420 80912 87646 101140 107872 124480 134840 161824 175292 202280 215744 219115 269680 323648 350584 404560 438230 539360 701168 809120 876460 1078720 1311319 1402336 1618240 1752920 2622638 2804672 3505840 5245276 6556595 7011680 10490552 13113190 14023360 17047147 20981104 26226380 34094294 41962208 52452760 68188588 83924416 85235735 104905520 136377176 170471470 209811040 272754352 340942940 419622080 545508704 681885880 1091017408 1363771760 2727543520 5455087040