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64098216 = 23347131087
BaseRepresentation
bin1111010010000…
…0111110101000
311110121112020000
43310200332220
5112402120331
610205503000
71405553160
oct364407650
9143545200
1064098216
11331aaa36
1219571a60
1310383450
1487275a0
1559620e6
hex3d20fa8

64098216 has 160 divisors (see below), whose sum is σ = 221168640. Its totient is φ = 16889472.

The previous prime is 64098197. The next prime is 64098227. The reversal of 64098216 is 61289046.

64098216 is a `hidden beast` number, since 640 + 9 + 8 + 2 + 1 + 6 = 666.

64098216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 39 ways as a sum of consecutive naturals, for example, 58425 + ... + 59511.

It is an arithmetic number, because the mean of its divisors is an integer number (1382304).

Almost surely, 264098216 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 64098216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110584320).

64098216 is an abundant number, since it is smaller than the sum of its proper divisors (157070424).

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

64098216 is a wasteful number, since it uses less digits than its factorization.

64098216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 64098216 is about 8006.1361467315. The cubic root of 64098216 is about 400.2045120859.

The spelling of 64098216 in words is "sixty-four million, ninety-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1087 1092 1134 1404 1512 1638 2106 2174 2184 2268 2457 2808 3261 3276 4212 4348 4536 4914 6522 6552 7371 7609 8424 8696 9783 9828 13044 14131 14742 15218 19566 19656 22827 26088 28262 29349 29484 30436 39132 42393 45654 56524 58698 58968 60872 68481 78264 84786 88047 91308 98917 113048 117396 127179 136962 169572 176094 182616 197834 205443 234792 254358 273924 296751 339144 352188 381537 395668 410886 508716 547848 593502 616329 704376 763074 791336 821772 890253 1017432 1144611 1187004 1232658 1526148 1643544 1780506 2289222 2374008 2465316 2670759 3052296 3561012 4578444 4930632 5341518 7122024 8012277 9156888 10683036 16024554 21366072 32049108 64098216