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64048860 = 22335176977
BaseRepresentation
bin1111010001010…
…0111011011100
311110112000112000
43310110323130
5112344030420
610204442300
71405256241
oct364247334
9143460460
1064048860
1133176947
1219549390
1310366b45
1487135c8
155952690
hex3d14edc

64048860 has 96 divisors (see below), whose sum is σ = 211014720. Its totient is φ = 16072704.

The previous prime is 64048823. The next prime is 64048861. The reversal of 64048860 is 6884046.

64048860 is a `hidden beast` number, since 640 + 4 + 8 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64048861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5692 + ... + 12668.

It is an arithmetic number, because the mean of its divisors is an integer number (2198070).

Almost surely, 264048860 is an apocalyptic number.

64048860 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 64048860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105507360).

64048860 is an abundant number, since it is smaller than the sum of its proper divisors (146965860).

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

64048860 is a wasteful number, since it uses less digits than its factorization.

64048860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64048860 is about 8003.0531673856. The cubic root of 64048860 is about 400.1017657738.

The spelling of 64048860 in words is "sixty-four million, forty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 6977 9180 13954 20931 27908 34885 41862 62793 69770 83724 104655 118609 125586 139540 188379 209310 237218 251172 313965 355827 376758 418620 474436 593045 627930 711654 753516 941895 1067481 1186090 1255860 1423308 1779135 1883790 2134962 2372180 3202443 3558270 3767580 4269924 5337405 6404886 7116540 10674810 12809772 16012215 21349620 32024430 64048860