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5408057280 = 263513143003
BaseRepresentation
bin1010000100101100…
…00110011111000000
3111221220012202220210
411002112012133000
542033430313110
62252345234120
7251005504563
oct50226063700
914856182823
105408057280
11232578652a
12106b192940
136825616c2
143943624da
15219bac520
hex1425867c0

5408057280 has 112 divisors (see below), whose sum is σ = 17302057344. Its totient is φ = 1431106560.

The previous prime is 5408057251. The next prime is 5408057287. The reversal of 5408057280 is 827508045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408057287) 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, 104259 + ... + 147261.

Almost surely, 25408057280 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 5408057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651028672).

5408057280 is an abundant number, since it is smaller than the sum of its proper divisors (11894000064).

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

5408057280 is a wasteful number, since it uses less digits than its factorization.

5408057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43154 (or 43144 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 5408057280 is about 73539.4946950277. The cubic root of 5408057280 is about 1755.2827881743.

The spelling of 5408057280 in words is "five billion, four hundred eight million, fifty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 20960 25152 31440 41920 43003 62880 86006 125760 129009 172012 215015 258018 344024 430030 516036 645045 688048 860060 1032072 1290090 1376096 1720120 2064144 2580180 2752192 3440240 4128288 5160360 5633393 6880480 8256576 10320720 11266786 13760960 16900179 20641440 22533572 28166965 33800358 41282880 45067144 56333930 67600716 84500895 90134288 112667860 135201432 169001790 180268576 225335720 270402864 338003580 360537152 450671440 540805728 676007160 901342880 1081611456 1352014320 1802685760 2704028640 5408057280