Search a number
-
+
64477980 = 22325773701
BaseRepresentation
bin1111010111110…
…1101100011100
311111022211011100
43311331230130
5113001243410
610221553100
71412024310
oct365755434
9144284140
1064477980
113343a296
1219715790
1310487268
1487c5b40
1559d98c0
hex3d7db1c

64477980 has 144 divisors (see below), whose sum is σ = 226908864. Its totient is φ = 14515200.

The previous prime is 64477967. The next prime is 64477981. The reversal of 64477980 is 8977446.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64477981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91630 + ... + 92330.

It is an arithmetic number, because the mean of its divisors is an integer number (1575756).

Almost surely, 264477980 is an apocalyptic number.

64477980 is a gapful number since it is divisible by the number (60) 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 64477980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113454432).

64477980 is an abundant number, since it is smaller than the sum of its proper divisors (162430884).

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

64477980 is a wasteful number, since it uses less digits than its factorization.

64477980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 64477980 is about 8029.8181797597. The cubic root of 64477980 is about 400.9933228988.

The spelling of 64477980 in words is "sixty-four million, four hundred seventy-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 73 84 90 105 126 140 146 180 210 219 252 292 315 365 420 438 511 630 657 701 730 876 1022 1095 1260 1314 1402 1460 1533 2044 2103 2190 2555 2628 2804 3066 3285 3505 4206 4380 4599 4907 5110 6132 6309 6570 7010 7665 8412 9198 9814 10220 10515 12618 13140 14020 14721 15330 18396 19628 21030 22995 24535 25236 29442 30660 31545 42060 44163 45990 49070 51173 58884 63090 73605 88326 91980 98140 102346 126180 147210 153519 176652 204692 220815 255865 294420 307038 358211 441630 460557 511730 614076 716422 767595 883260 921114 1023460 1074633 1432844 1535190 1791055 1842228 2149266 2302785 3070380 3223899 3582110 4298532 4605570 5373165 6447798 7164220 9211140 10746330 12895596 16119495 21492660 32238990 64477980