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64884820 = 225721113463
BaseRepresentation
bin1111011110000…
…1000001010100
311112002111020111
43313201001110
5113102303240
610234412404
71415340400
oct367410124
9145074214
1064884820
1133697a20
1219891104
131059a4b0
148890100
155a6a1ea
hex3de1054

64884820 has 144 divisors (see below), whose sum is σ = 186617088. Its totient is φ = 18627840.

The previous prime is 64884797. The next prime is 64884823. The reversal of 64884820 is 2848846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64884823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139909 + ... + 140371.

It is an arithmetic number, because the mean of its divisors is an integer number (1295952).

Almost surely, 264884820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64884820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93308544).

64884820 is an abundant number, since it is smaller than the sum of its proper divisors (121732268).

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

64884820 is a wasteful number, since it uses less digits than its factorization.

64884820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 64884820 is about 8055.1114207067. Note that the first 3 decimals coincide. The cubic root of 64884820 is about 401.8349445746.

The spelling of 64884820 in words is "sixty-four million, eight hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 463 490 539 572 637 715 770 910 926 980 1001 1078 1274 1430 1540 1820 1852 2002 2156 2315 2548 2695 2860 3185 3241 4004 4630 5005 5093 5390 6019 6370 6482 7007 9260 10010 10186 10780 12038 12740 12964 14014 16205 20020 20372 22687 24076 25465 28028 30095 32410 35035 35651 42133 45374 50930 60190 64820 66209 70070 71302 84266 90748 101860 113435 120380 132418 140140 142604 168532 178255 210665 226870 249557 264836 294931 331045 356510 421330 453740 463463 499114 589862 662090 713020 842660 926926 998228 1179724 1247785 1324180 1474655 1853852 2317315 2495570 2949310 3244241 4634630 4991140 5898620 6488482 9269260 12976964 16221205 32442410 64884820