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427291040 = 25511242779
BaseRepresentation
bin11001011101111…
…111000110100000
31002210000122010002
4121131333012200
51333341303130
6110222155132
713405625321
oct3135770640
91083018102
10427291040
111aa2160a0
12bb122aa8
136a6a8547
1440a6a448
15277a4b45
hex1977f1a0

427291040 has 48 divisors (see below), whose sum is σ = 1101250080. Its totient is φ = 155377920.

The previous prime is 427291021. The next prime is 427291049. The reversal of 427291040 is 40192724.

It is a junction number, because it is equal to n+sod(n) for n = 427290994 and 427291012.

It is not an unprimeable number, because it can be changed into a prime (427291049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119630 + ... + 123149.

It is an arithmetic number, because the mean of its divisors is an integer number (22942710).

Almost surely, 2427291040 is an apocalyptic number.

427291040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427291040 is an abundant number, since it is smaller than the sum of its proper divisors (673959040).

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

427291040 is a wasteful number, since it uses less digits than its factorization.

427291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242805 (or 242797 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 427291040 is about 20671.0193265838. The cubic root of 427291040 is about 753.1958677480.

The spelling of 427291040 in words is "four hundred twenty-seven million, two hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 242779 485558 971116 1213895 1942232 2427790 2670569 3884464 4855580 5341138 7768928 9711160 10682276 13352845 19422320 21364552 26705690 38844640 42729104 53411380 85458208 106822760 213645520 427291040