Search a number
-
+
69578064 = 243261892
BaseRepresentation
bin1000010010110…
…10110101010000
311211220221011100
410021122311100
5120302444224
610523144400
71503255333
oct411326520
9154827140
1069578064
1136303036
121b375100
131155176a
14935261a
156195ac9
hex425ad50

69578064 has 90 divisors (see below), whose sum is σ = 200162846. Its totient is φ = 22556160.

The previous prime is 69578039. The next prime is 69578071. The reversal of 69578064 is 46087596.

It can be written as a sum of positive squares in 3 ways, for example, as 3968064 + 65610000 = 1992^2 + 8100^2 .

It is a super-2 number, since 2×695780642 = 9682213979976192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 781732 + ... + 781820.

Almost surely, 269578064 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 69578064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100081423).

69578064 is an abundant number, since it is smaller than the sum of its proper divisors (130584782).

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

69578064 is a wasteful number, since it uses less digits than its factorization.

69578064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 69578064 is about 8341.3466538683. The cubic root of 69578064 is about 411.2988041476.

The spelling of 69578064 in words is "sixty-nine million, five hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 89 122 144 178 183 244 267 356 366 488 534 549 712 732 801 976 1068 1098 1424 1464 1602 2136 2196 2928 3204 4272 4392 5429 6408 7921 8784 10858 12816 15842 16287 21716 23763 31684 32574 43432 47526 48861 63368 65148 71289 86864 95052 97722 126736 130296 142578 190104 195444 260592 285156 380208 390888 483181 570312 781776 966362 1140624 1449543 1932724 2899086 3865448 4348629 5798172 7730896 8697258 11596344 17394516 23192688 34789032 69578064