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61481664 = 2632106739
BaseRepresentation
bin1110101010001…
…0001011000000
311021200120222200
43222202023000
5111214403124
610033433200
71344404556
oct352421300
9137616880
1061481664
11317830a2
121870b800
13c9784aa
148245bd6
1555e6bc9
hex3aa22c0

61481664 has 42 divisors (see below), whose sum is σ = 176227740. Its totient is φ = 20493696.

The previous prime is 61481659. The next prime is 61481677. The reversal of 61481664 is 46618416.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52794 + ... + 53945.

Almost surely, 261481664 is an apocalyptic number.

61481664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61481664 is an abundant number, since it is smaller than the sum of its proper divisors (114746076).

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

61481664 is a wasteful number, since it uses less digits than its factorization.

61481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106757 (or 106744 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61481664 is about 7841.0244228672. The cubic root of 61481664 is about 394.6831064088.

The spelling of 61481664 in words is "sixty-one million, four hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 106739 213478 320217 426956 640434 853912 960651 1280868 1707824 1921302 2561736 3415648 3842604 5123472 6831296 7685208 10246944 15370416 20493888 30740832 61481664