[go: up one dir, main page]

Search a number
-
+
45256536 = 23331371227
BaseRepresentation
bin1010110010100…
…0111101011000
310011011021022000
42230220331120
543041202121
64254001000
71056450153
oct254507530
9104137260
1045256536
11236009a6
12131a6160
1394b7320
146020c9a
153e8e526
hex2b28f58

45256536 has 128 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 13668480.

The previous prime is 45256531. The next prime is 45256543. The reversal of 45256536 is 63565254.

It is a happy number.

45256536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45256536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45256531) 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 31 ways as a sum of consecutive naturals, for example, 199255 + ... + 199481.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 245256536 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 45256536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

45256536 is an abundant number, since it is smaller than the sum of its proper divisors (92637864).

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

45256536 is a wasteful number, since it uses less digits than its factorization.

45256536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 45256536 is about 6727.2978230490. The cubic root of 45256536 is about 356.3639546808.

The spelling of 45256536 in words is "forty-five million, two hundred fifty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 71 72 78 104 108 117 142 156 213 216 227 234 284 312 351 426 454 468 568 639 681 702 852 908 923 936 1278 1362 1404 1704 1816 1846 1917 2043 2556 2724 2769 2808 2951 3692 3834 4086 5112 5448 5538 5902 6129 7384 7668 8172 8307 8853 11076 11804 12258 15336 16117 16344 16614 17706 22152 23608 24516 24921 26559 32234 33228 35412 48351 49032 49842 53118 64468 66456 70824 79677 96702 99684 106236 128936 145053 159354 193404 199368 209521 212472 290106 318708 386808 419042 435159 580212 628563 637416 838084 870318 1160424 1257126 1676168 1740636 1885689 2514252 3481272 3771378 5028504 5657067 7542756 11314134 15085512 22628268 45256536