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43427840 = 21154241
BaseRepresentation
bin1010010110101…
…0100000000000
310000201100210112
42211222200000
542104142330
64150450452
71035062531
oct245524000
9100640715
1043427840
1122571a85
1212663a28
138cc6b61
145aa6688
153c2c795
hex296a800

43427840 has 48 divisors (see below), whose sum is σ = 104225940. Its totient is φ = 17367040.

The previous prime is 43427837. The next prime is 43427851. The reversal of 43427840 is 4872434.

It can be written as a sum of positive squares in 2 ways, for example, as 40551424 + 2876416 = 6368^2 + 1696^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 43427797 and 43427806.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8120 + ... + 12360.

Almost surely, 243427840 is an apocalyptic number.

43427840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52112970).

43427840 is an abundant number, since it is smaller than the sum of its proper divisors (60798100).

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

43427840 is an equidigital number, since it uses as much as digits as its factorization.

43427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 43427840 is about 6589.9802731116. The cubic root of 43427840 is about 351.4979067436.

The spelling of 43427840 in words is "forty-three million, four hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4241 5120 8482 10240 16964 21205 33928 42410 67856 84820 135712 169640 271424 339280 542848 678560 1085696 1357120 2171392 2714240 4342784 5428480 8685568 10856960 21713920 43427840