Search a number
-
+
99661408 = 2571123677
BaseRepresentation
bin1011111000010…
…11011001100000
320221112022202021
411330023121200
5201003131113
613520031224
72320052020
oct574133140
9227468667
1099661408
1151290100
1229462514
1317855662
14d343a80
158b3948d
hex5f0b660

99661408 has 72 divisors (see below), whose sum is σ = 246543696. Its totient is φ = 38818560.

The previous prime is 99661381. The next prime is 99661417. The reversal of 99661408 is 80416699.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25266 + ... + 28942.

It is an arithmetic number, because the mean of its divisors is an integer number (3424218).

Almost surely, 299661408 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 99661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123271848).

99661408 is an abundant number, since it is smaller than the sum of its proper divisors (146882288).

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

99661408 is a wasteful number, since it uses less digits than its factorization.

99661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 99661408 is about 9983.0560451197. The cubic root of 99661408 is about 463.6344227057.

The spelling of 99661408 in words is "ninety-nine million, six hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3677 3872 6776 7354 13552 14708 25739 27104 29416 40447 51478 58832 80894 102956 117664 161788 205912 283129 323576 411824 444917 566258 647152 823648 889834 1132516 1294304 1779668 2265032 3114419 3559336 4530064 6228838 7118672 9060128 12457676 14237344 24915352 49830704 99661408