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61530656 = 2511672609
BaseRepresentation
bin1110101010111…
…0001000100000
311021210002012012
43222232020200
5111222440111
610034452052
71345000445
oct352561040
9137702165
1061530656
1131806990
1218734028
13c994895
1482599cc
15560648b
hex3aae220

61530656 has 48 divisors (see below), whose sum is σ = 134174880. Its totient is φ = 27540480.

The previous prime is 61530653. The next prime is 61530731. The reversal of 61530656 is 65603516.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (61530653) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22280 + ... + 24888.

It is an arithmetic number, because the mean of its divisors is an integer number (2795310).

Almost surely, 261530656 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 61530656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67087440).

61530656 is an abundant number, since it is smaller than the sum of its proper divisors (72644224).

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

61530656 is a wasteful number, since it uses less digits than its factorization.

61530656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 61530656 is about 7844.1478823388. The cubic root of 61530656 is about 394.7879137051.

The spelling of 61530656 in words is "sixty-one million, five hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 1072 1474 2144 2609 2948 5218 5896 10436 11792 20872 23584 28699 41744 57398 83488 114796 174803 229592 349606 459184 699212 918368 1398424 1922833 2796848 3845666 5593696 7691332 15382664 30765328 61530656