Search a number
-
+
61623016 = 23713471801
BaseRepresentation
bin1110101100010…
…0101011101000
311021221202212221
43223010223220
5111233414031
610040443424
71345533640
oct353045350
9137852787
1061623016
113186a314
1218779574
13c9c7930
148281520
155623a11
hex3ac4ae8

61623016 has 64 divisors (see below), whose sum is σ = 145313280. Its totient is φ = 23846400.

The previous prime is 61623013. The next prime is 61623017. The reversal of 61623016 is 61032616.

61623016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×616230162 = 7594792201872512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61623013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33316 + ... + 35116.

It is an arithmetic number, because the mean of its divisors is an integer number (2270520).

Almost surely, 261623016 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 61623016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72656640).

61623016 is an abundant number, since it is smaller than the sum of its proper divisors (83690264).

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

61623016 is a wasteful number, since it uses less digits than its factorization.

61623016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 61623016 is about 7850.0328661732. The cubic root of 61623016 is about 394.9853458218.

It can be divided in two parts, 616 and 23016, that added together give a palindrome (23632).

The spelling of 61623016 in words is "sixty-one million, six hundred twenty-three thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 47 52 56 91 94 104 182 188 329 364 376 611 658 728 1222 1316 1801 2444 2632 3602 4277 4888 7204 8554 12607 14408 17108 23413 25214 34216 46826 50428 84647 93652 100856 163891 169294 187304 327782 338588 592529 655564 677176 1100411 1185058 1311128 2200822 2370116 4401644 4740232 7702877 8803288 15405754 30811508 61623016