Search a number
-
+
45494540 = 22572133571
BaseRepresentation
bin1010110110001…
…1000100001100
310011121100202222
42231203010030
543121311130
64303034512
71061461100
oct255430414
9104540688
1045494540
11237537a3
121329ba38
13956b760
146083900
153ed9ce5
hex2b6310c

45494540 has 72 divisors (see below), whose sum is σ = 119719152. Its totient is φ = 14394240.

The previous prime is 45494509. The next prime is 45494557. The reversal of 45494540 is 4549454.

45494540 = 10612 + 10622 + ... + 10992.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 45494540.

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 23 ways as a sum of consecutive naturals, for example, 10955 + ... + 14525.

It is an arithmetic number, because the mean of its divisors is an integer number (1662766).

Almost surely, 245494540 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 45494540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59859576).

45494540 is an abundant number, since it is smaller than the sum of its proper divisors (74224612).

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

45494540 is a wasteful number, since it uses less digits than its factorization.

45494540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 45494540 is about 6744.9640473467. The cubic root of 45494540 is about 356.9875684509.

The spelling of 45494540 in words is "forty-five million, four hundred ninety-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 3571 6370 7142 12740 14284 17855 24997 35710 46423 49994 71420 92846 99988 124985 174979 185692 232115 249970 324961 349958 464230 499940 649922 699916 874895 928460 1299844 1624805 1749790 2274727 3249610 3499580 4549454 6499220 9098908 11373635 22747270 45494540