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428472240 = 24357255043
BaseRepresentation
bin11001100010011…
…111011110110000
31002212020122102020
4121202133132300
51334142102430
6110303351440
713421645130
oct3142373660
91085218366
10428472240
111aa952599
12bb5b2580
136aa00091
1440c96ac0
1527939b10
hex1989f7b0

428472240 has 80 divisors (see below), whose sum is σ = 1518021888. Its totient is φ = 97936128.

The previous prime is 428472227. The next prime is 428472241. The reversal of 428472240 is 42274824.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (428472241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125842 + ... + 129201.

Almost surely, 2428472240 is an apocalyptic number.

428472240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428472240 is an abundant number, since it is smaller than the sum of its proper divisors (1089549648).

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

428472240 is a wasteful number, since it uses less digits than its factorization.

428472240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255066 (or 255060 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 428472240 is about 20699.5710100475. The cubic root of 428472240 is about 753.8892721095.

The spelling of 428472240 in words is "four hundred twenty-eight million, four hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 255043 510086 765129 1020172 1275215 1530258 1785301 2040344 2550430 3060516 3570602 3825645 4080688 5100860 5355903 6121032 7141204 7651290 8926505 10201720 10711806 12242064 14282408 15302580 17853010 20403440 21423612 26779515 28564816 30605160 35706020 42847224 53559030 61210320 71412040 85694448 107118060 142824080 214236120 428472240