Search a number
-
+
61699616 = 2511237621
BaseRepresentation
bin1110101101011…
…1011000100000
311022002122221222
43223113120200
5111243341431
610042234212
71346303156
oct353273040
9138078858
1061699616
1131911920
12187b5968
13ca23764
1482a13d6
15563b57b
hex3ad7620

61699616 has 48 divisors (see below), whose sum is σ = 138293568. Its totient is φ = 26822400.

The previous prime is 61699607. The next prime is 61699619.

61699616 is nontrivially palindromic in base 10.

61699616 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 2×616996162 = 7613685229094912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (61699619) 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 7 ways as a sum of consecutive naturals, for example, 4286 + ... + 11906.

It is an arithmetic number, because the mean of its divisors is an integer number (2881116).

Almost surely, 261699616 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 61699616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69146784).

61699616 is an abundant number, since it is smaller than the sum of its proper divisors (76593952).

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

61699616 is a wasteful number, since it uses less digits than its factorization.

61699616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7657 counting only the distinct ones).

The product of its digits is 104976, while the sum is 44.

The square root of 61699616 is about 7854.9103113912. The cubic root of 61699616 is about 395.1489391871.

The spelling of 61699616 in words is "sixty-one million, six hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 7621 8096 15242 30484 60968 83831 121936 167662 175283 243872 335324 350566 670648 701132 1341296 1402264 1928113 2682592 2804528 3856226 5609056 7712452 15424904 30849808 61699616