Search a number
-
+
45774360 = 23325432957
BaseRepresentation
bin1010111010011…
…1011000011000
310012010120121200
42232213120120
543204234420
64313034200
71064034642
oct256473030
9105116550
1045774360
1123924a55
12133b5960
139638c28
146117892
154042b90
hex2ba7618

45774360 has 96 divisors (see below), whose sum is σ = 152277840. Its totient is φ = 11918592.

The previous prime is 45774359. The next prime is 45774367. The reversal of 45774360 is 6347754.

45774360 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (45774367) 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 23 ways as a sum of consecutive naturals, for example, 14002 + ... + 16958.

Almost surely, 245774360 is an apocalyptic number.

45774360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45774360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76138920).

45774360 is an abundant number, since it is smaller than the sum of its proper divisors (106503480).

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

45774360 is a wasteful number, since it uses less digits than its factorization.

45774360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 45774360 is about 6765.6751326087. The cubic root of 45774360 is about 357.7179722774.

The spelling of 45774360 in words is "forty-five million, seven hundred seventy-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 2957 3096 3870 5160 5914 7740 8871 11828 14785 15480 17742 23656 26613 29570 35484 44355 53226 59140 70968 88710 106452 118280 127151 133065 177420 212904 254302 266130 354840 381453 508604 532260 635755 762906 1017208 1064520 1144359 1271510 1525812 1907265 2288718 2543020 3051624 3814530 4577436 5086040 5721795 7629060 9154872 11443590 15258120 22887180 45774360