Search a number
-
+
61443616 = 25131271163
BaseRepresentation
bin1110101001100…
…0111000100000
311021121122210111
43222120320200
5111212143431
610032541104
71344155623
oct352307040
9137548714
1061443616
1131757553
12186b1794
13c964090
148235dba
1555da7b1
hex3a98e20

61443616 has 48 divisors (see below), whose sum is σ = 131410944. Its totient is φ = 28111104.

The previous prime is 61443607. The next prime is 61443631. The reversal of 61443616 is 61634416.

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, 52251 + ... + 53413.

It is an arithmetic number, because the mean of its divisors is an integer number (2737728).

Almost surely, 261443616 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 61443616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65705472).

61443616 is an abundant number, since it is smaller than the sum of its proper divisors (69967328).

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

61443616 is a wasteful number, since it uses less digits than its factorization.

61443616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 61443616 is about 7838.5978337966. The cubic root of 61443616 is about 394.6016729067.

The spelling of 61443616 in words is "sixty-one million, four hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 127 208 254 416 508 1016 1163 1651 2032 2326 3302 4064 4652 6604 9304 13208 15119 18608 26416 30238 37216 52832 60476 120952 147701 241904 295402 483808 590804 1181608 1920113 2363216 3840226 4726432 7680452 15360904 30721808 61443616