Search a number
-
+
64713152 = 2671729293
BaseRepresentation
bin1111011011011…
…1000111000000
311111202202202102
43312313013000
5113031310102
610231005532
71414024040
oct366670700
9144682672
1064713152
113358aa49
12198098a8
131053a30a
148847720
155a34402
hex3db71c0

64713152 has 112 divisors (see below), whose sum is σ = 161300160. Its totient is φ = 25116672.

The previous prime is 64713139. The next prime is 64713161. The reversal of 64713152 is 25131746.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220718 + ... + 221010.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 264713152 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 64713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080).

64713152 is an abundant number, since it is smaller than the sum of its proper divisors (96587008).

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

64713152 is a wasteful number, since it uses less digits than its factorization.

64713152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 64713152 is about 8044.4485205637. The cubic root of 64713152 is about 401.4802487354.

Adding to 64713152 its reverse (25131746), we get a palindrome (89844898).

The spelling of 64713152 in words is "sixty-four million, seven hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 64 68 112 116 119 136 203 224 232 238 272 293 406 448 464 476 493 544 586 812 928 952 986 1088 1172 1624 1856 1904 1972 2051 2344 3248 3451 3808 3944 4102 4688 4981 6496 6902 7616 7888 8204 8497 9376 9962 12992 13804 15776 16408 16994 18752 19924 27608 31552 32816 33988 34867 39848 55216 59479 65632 67976 69734 79696 110432 118958 131264 135952 139468 144449 159392 220864 237916 271904 278936 288898 318784 475832 543808 557872 577796 951664 1011143 1115744 1155592 1903328 2022286 2231488 2311184 3806656 4044572 4622368 8089144 9244736 16178288 32356576 64713152