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64675072 = 2871117193
BaseRepresentation
bin1111011010110…
…1110100000000
311111200211112001
43312231310000
5113024100242
610230113344
71413505030
oct366556400
9144624461
1064675072
1133564380
12197ab854
1310525b97
1488378c0
155a27eb7
hex3dadd00

64675072 has 144 divisors (see below), whose sum is σ = 171303552. Its totient is φ = 23592960.

The previous prime is 64675049. The next prime is 64675099. The reversal of 64675072 is 27057646.

64675072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 335008 + ... + 335200.

It is an arithmetic number, because the mean of its divisors is an integer number (1189608).

Almost surely, 264675072 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 64675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85651776).

64675072 is an abundant number, since it is smaller than the sum of its proper divisors (106628480).

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

64675072 is a wasteful number, since it uses less digits than its factorization.

64675072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 64675072 is about 8042.0813226428. The cubic root of 64675072 is about 401.4014838725.

The spelling of 64675072 in words is "sixty-four million, six hundred seventy-five thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 193 224 238 256 272 308 352 374 386 448 476 544 616 704 748 772 896 952 1088 1232 1309 1351 1408 1496 1544 1792 1904 2123 2176 2464 2618 2702 2816 2992 3088 3281 3808 4246 4352 4928 5236 5404 5984 6176 6562 7616 8492 9856 10472 10808 11968 12352 13124 14861 15232 16984 19712 20944 21616 22967 23936 24704 26248 29722 30464 33968 36091 41888 43232 45934 47872 49408 52496 59444 67936 72182 83776 86464 91868 104992 118888 135872 144364 167552 172928 183736 209984 237776 252637 271744 288728 335104 345856 367472 419968 475552 505274 543488 577456 734944 839936 951104 1010548 1154912 1469888 1902208 2021096 2309824 2939776 3804416 4042192 4619648 5879552 8084384 9239296 16168768 32337536 64675072