Search a number
-
+
104925264 = 24323101941
BaseRepresentation
bin1100100000100…
…00100001010000
321022102202101220
412100100201100
5203330102024
614224525040
72412564363
oct620204120
9238382356
10104925264
11542559a4
122b180780
1318979572
14dd140da
159328e79
hex6410850

104925264 has 80 divisors (see below), whose sum is σ = 285945984. Its totient is φ = 33088000.

The previous prime is 104925263. The next prime is 104925299. The reversal of 104925264 is 462529401.

It is a super-2 number, since 2×1049252642 = 22018622050939392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104925263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111034 + ... + 111974.

Almost surely, 2104925264 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 104925264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142972992).

104925264 is an abundant number, since it is smaller than the sum of its proper divisors (181020720).

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

104925264 is a wasteful number, since it uses less digits than its factorization.

104925264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 104925264 is about 10243.3033734240. The cubic root of 104925264 is about 471.6574408053.

The spelling of 104925264 in words is "one hundred four million, nine hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 101 138 184 202 276 303 368 404 552 606 808 941 1104 1212 1616 1882 2323 2424 2823 3764 4646 4848 5646 6969 7528 9292 11292 13938 15056 18584 21643 22584 27876 37168 43286 45168 55752 64929 86572 95041 111504 129858 173144 190082 259716 285123 346288 380164 519432 570246 760328 1038864 1140492 1520656 2185943 2280984 4371886 4561968 6557829 8743772 13115658 17487544 26231316 34975088 52462632 104925264