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61421664 = 2533120639
BaseRepresentation
bin1110101001001…
…1100001100000
311021120112200110
43222103201200
5111210443124
610032251320
71344034623
oct352234140
9137515613
1061421664
1131742007
12186a0b40
13c9570a5
14822bdba
1555d4029
hex3a93860

61421664 has 48 divisors (see below), whose sum is σ = 166440960. Its totient is φ = 19812480.

The previous prime is 61421653. The next prime is 61421677. The reversal of 61421664 is 46612416.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

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, 7344 + ... + 13295.

It is an arithmetic number, because the mean of its divisors is an integer number (3467520).

Almost surely, 261421664 is an apocalyptic number.

It is an amenable number.

61421664 is an abundant number, since it is smaller than the sum of its proper divisors (105019296).

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

61421664 is a wasteful number, since it uses less digits than its factorization.

61421664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20683 (or 20675 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 61421664 is about 7837.1974582755. The cubic root of 61421664 is about 394.5546741118.

The spelling of 61421664 in words is "sixty-one million, four hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 20639 41278 61917 82556 123834 165112 247668 330224 495336 639809 660448 990672 1279618 1919427 1981344 2559236 3838854 5118472 7677708 10236944 15355416 20473888 30710832 61421664