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61460512 = 2529103643
BaseRepresentation
bin1110101001110…
…1000000100000
311021122111222021
43222131000200
5111213214022
610033151224
71344256111
oct352350040
9137574867
1061460512
1131769213
12186bb514
13c96b989
14823c208
1555e07c7
hex3a9d020

61460512 has 48 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 29336832.

The previous prime is 61460501. The next prime is 61460513. The reversal of 61460512 is 21506416.

It is not an unprimeable number, because it can be changed into a prime (61460513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95263 + ... + 95905.

It is an arithmetic number, because the mean of its divisors is an integer number (2637180).

Almost surely, 261460512 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 61460512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63292320).

61460512 is an abundant number, since it is smaller than the sum of its proper divisors (65124128).

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

61460512 is a wasteful number, since it uses less digits than its factorization.

61460512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 61460512 is about 7839.6755034886. The cubic root of 61460512 is about 394.6378392831.

Adding to 61460512 its reverse (21506416), we get a palindrome (82966928).

The spelling of 61460512 in words is "sixty-one million, four hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 103 116 206 232 412 464 643 824 928 1286 1648 2572 2987 3296 5144 5974 10288 11948 18647 20576 23896 37294 47792 66229 74588 95584 132458 149176 264916 298352 529832 596704 1059664 1920641 2119328 3841282 7682564 15365128 30730256 61460512