Search a number
-
+
64682058 = 23723147151
BaseRepresentation
bin1111011010111…
…1100001001010
311111201012002210
43312233201022
5113024311213
610230205550
71413534300
oct366574112
9144635083
1064682058
1133569651
12197b38b6
131052910c
14883a270
155a2a0c3
hex3daf84a

64682058 has 96 divisors (see below), whose sum is σ = 159694848. Its totient is φ = 17388000.

The previous prime is 64682053. The next prime is 64682063. The reversal of 64682058 is 85028646.

It is an interprime number because it is at equal distance from previous prime (64682053) and next prime (64682063).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64682053) 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, 428283 + ... + 428433.

It is an arithmetic number, because the mean of its divisors is an integer number (1663488).

Almost surely, 264682058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64682058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79847424).

64682058 is an abundant number, since it is smaller than the sum of its proper divisors (95012790).

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

64682058 is a wasteful number, since it uses less digits than its factorization.

64682058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 64682058 is about 8042.5156512126. The cubic root of 64682058 is about 401.4159360652.

The spelling of 64682058 in words is "sixty-four million, six hundred eighty-two thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 47 49 62 93 94 98 141 147 151 186 217 282 294 302 329 434 453 651 658 906 987 1057 1302 1457 1519 1974 2114 2303 2914 3038 3171 4371 4557 4606 4681 6342 6909 7097 7399 8742 9114 9362 10199 13818 14043 14194 14798 20398 21291 22197 28086 30597 32767 42582 44394 49679 61194 65534 71393 98301 99358 142786 149037 196602 214179 220007 229369 298074 347753 428358 440014 458738 660021 688107 695506 1043259 1320042 1376214 1540049 2086518 3080098 4620147 9240294 10780343 21560686 32341029 64682058