Search a number
-
+
61457264 = 24112912041
BaseRepresentation
bin1110101001110…
…0001101110000
311021122100111222
43222130031300
5111213113024
610033124212
71344243461
oct352341560
9137570458
1061457264
1131766830
12186b9668
13c96a35b
14823ad68
1555de85e
hex3a9c370

61457264 has 40 divisors (see below), whose sum is σ = 134388720. Its totient is φ = 26969600.

The previous prime is 61457257. The next prime is 61457273. The reversal of 61457264 is 46275416.

61457264 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 an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 917 + ... + 11124.

It is an arithmetic number, because the mean of its divisors is an integer number (3359718).

Almost surely, 261457264 is an apocalyptic number.

It is an amenable number.

61457264 is an abundant number, since it is smaller than the sum of its proper divisors (72931456).

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

61457264 is a wasteful number, since it uses less digits than its factorization.

61457264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089 (or 12083 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 61457264 is about 7839.4683493206. The cubic root of 61457264 is about 394.6308873599.

The spelling of 61457264 in words is "sixty-one million, four hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 12041 24082 48164 96328 132451 192656 264902 349189 529804 698378 1059608 1396756 2119216 2793512 3841079 5587024 7682158 15364316 30728632 61457264