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61266048 = 2731031549
BaseRepresentation
bin1110100110110…
…1100010000000
311021021122012220
43221231202000
5111141003143
610025051040
71342516134
oct351554200
9137248186
1061266048
11316460a8
1218626a80
13c9012cc
1481cb3c4
1555a2d83
hex3a6d880

61266048 has 64 divisors (see below), whose sum is σ = 164424000. Its totient is φ = 20210688.

The previous prime is 61266041. The next prime is 61266059. The reversal of 61266048 is 84066216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (61266041) 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, 38778 + ... + 40326.

It is an arithmetic number, because the mean of its divisors is an integer number (2569125).

Almost surely, 261266048 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 61266048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82212000).

61266048 is an abundant number, since it is smaller than the sum of its proper divisors (103157952).

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

61266048 is a wasteful number, since it uses less digits than its factorization.

61266048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 61266048 is about 7827.2631232124. The cubic root of 61266048 is about 394.2211818652.

The spelling of 61266048 in words is "sixty-one million, two hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1549 1648 2472 3098 3296 4647 4944 6196 6592 9294 9888 12392 13184 18588 19776 24784 37176 39552 49568 74352 99136 148704 159547 198272 297408 319094 478641 594816 638188 957282 1276376 1914564 2552752 3829128 5105504 7658256 10211008 15316512 20422016 30633024 61266048