Search a number
-
+
45250104 = 23343163269
BaseRepresentation
bin1010110010011…
…1011000111000
310011010221110210
42230213120320
543041000404
64253511120
71056422334
oct254473070
9104127423
1045250104
11235a7089
12131a24a0
1394b4413
14601c7c4
153e8c689
hex2b27638

45250104 has 64 divisors (see below), whose sum is σ = 116899200. Its totient is φ = 14587776.

The previous prime is 45250103. The next prime is 45250129. The reversal of 45250104 is 40105254.

45250104 = T277 + T278 + ... + T663.

45250104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45250103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 168082 + ... + 168350.

It is an arithmetic number, because the mean of its divisors is an integer number (1826550).

Almost surely, 245250104 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 45250104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58449600).

45250104 is an abundant number, since it is smaller than the sum of its proper divisors (71649096).

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

45250104 is a wasteful number, since it uses less digits than its factorization.

45250104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 45250104 is about 6726.8197537915. The cubic root of 45250104 is about 356.3470713622.

Adding to 45250104 its reverse (40105254), we get a palindrome (85355358).

It can be divided in two parts, 45250 and 104, that added together give a palindrome (45354).

The spelling of 45250104 in words is "forty-five million, two hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 163 172 258 269 326 344 489 516 538 652 807 978 1032 1076 1304 1614 1956 2152 3228 3912 6456 7009 11567 14018 21027 23134 28036 34701 42054 43847 46268 56072 69402 84108 87694 92536 131541 138804 168216 175388 263082 277608 350776 526164 1052328 1885421 3770842 5656263 7541684 11312526 15083368 22625052 45250104