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4027436080 = 245195349993
BaseRepresentation
bin1111000000001101…
…1100110000110000
3101101200022221200021
43300003130300300
531222010423310
61503345533224
7201542433103
oct36003346060
911350287607
104027436080
111787423378
12944944214
134c2509695
142a2c5673a
151888945da
hexf00dcc30

4027436080 has 80 divisors (see below), whose sum is σ = 10042794720. Its totient is φ = 1497360384.

The previous prime is 4027436071. The next prime is 4027436093. The reversal of 4027436080 is 806347204.

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

It is an unprimeable number.

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, 55564 + ... + 105556.

It is an arithmetic number, because the mean of its divisors is an integer number (125534934).

Almost surely, 24027436080 is an apocalyptic number.

4027436080 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 4027436080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021397360).

4027436080 is an abundant number, since it is smaller than the sum of its proper divisors (6015358640).

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

4027436080 is a wasteful number, since it uses less digits than its factorization.

4027436080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50078 (or 50072 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 4027436080 is about 63462.0837981231. The cubic root of 4027436080 is about 1591.0221240634.

The spelling of 4027436080 in words is "four billion, twenty-seven million, four hundred thirty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 152 190 212 265 304 380 424 530 760 848 1007 1060 1520 2014 2120 4028 4240 5035 8056 10070 16112 20140 40280 49993 80560 99986 199972 249965 399944 499930 799888 949867 999860 1899734 1999720 2649629 3799468 3999440 4749335 5299258 7598936 9498670 10598516 13248145 15197872 18997340 21197032 26496290 37994680 42394064 50342951 52992580 75989360 100685902 105985160 201371804 211970320 251714755 402743608 503429510 805487216 1006859020 2013718040 4027436080