Search a number
-
+
61969544 = 23713233701
BaseRepresentation
bin1110110001100…
…1010010001000
311022121101020022
43230121102020
5111331011134
610052120012
71351506140
oct354312210
9138541208
1061969544
1131a866aa
1218906008
13cab9590
148331920
15569152e
hex3b19488

61969544 has 64 divisors (see below), whose sum is σ = 149264640. Its totient is φ = 23443200.

The previous prime is 61969541. The next prime is 61969553. The reversal of 61969544 is 44596916.

It is a junction number, because it is equal to n+sod(n) for n = 61969495 and 61969504.

It is not an unprimeable number, because it can be changed into a prime (61969541) 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 15 ways as a sum of consecutive naturals, for example, 14894 + ... + 18594.

It is an arithmetic number, because the mean of its divisors is an integer number (2332260).

Almost surely, 261969544 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 61969544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74632320).

61969544 is an abundant number, since it is smaller than the sum of its proper divisors (87295096).

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

61969544 is a wasteful number, since it uses less digits than its factorization.

61969544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3746 counting only the distinct ones).

The product of its digits is 233280, while the sum is 44.

The square root of 61969544 is about 7872.0736785170. The cubic root of 61969544 is about 395.7243430702.

The spelling of 61969544 in words is "sixty-one million, nine hundred sixty-nine thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 598 644 728 1196 1288 2093 2392 3701 4186 7402 8372 14804 16744 25907 29608 48113 51814 85123 96226 103628 170246 192452 207256 336791 340492 384904 595861 673582 680984 1106599 1191722 1347164 2213198 2383444 2694328 4426396 4766888 7746193 8852792 15492386 30984772 61969544