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398649966 = 23111317151181
BaseRepresentation
bin10111110000101…
…110101001101110
31000210010111221120
4113300232221232
51304023244331
6103320241410
712610316541
oct2760565156
91023114846
10398649966
11195033690
12b1610266
136478ac70
143ad32858
1524ee8796
hex17c2ea6e

398649966 has 128 divisors (see below), whose sum is σ = 1003871232. Its totient is φ = 103680000.

The previous prime is 398649959. The next prime is 398649967. The reversal of 398649966 is 669946893.

It is a happy number.

398649966 is a nontrivial binomial coefficient, being equal to C(28237, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398649967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2202396 + ... + 2202576.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2398649966 is an apocalyptic number.

398649966 is the 28236-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398649966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616).

398649966 is an abundant number, since it is smaller than the sum of its proper divisors (605221266).

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

398649966 is a wasteful number, since it uses less digits than its factorization.

398649966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378.

The product of its digits is 15116544, while the sum is 60.

The square root of 398649966 is about 19966.2206238437. The cubic root of 398649966 is about 735.9764374447.

It can be divided in two parts, 39864 and 9966, that multiplied together give a square (397284624 = 199322).

The spelling of 398649966 in words is "three hundred ninety-eight million, six hundred forty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 151 181 187 221 286 302 362 374 429 442 453 543 561 663 858 906 1086 1122 1326 1661 1963 1991 2353 2431 2567 3077 3322 3926 3982 4706 4862 4983 5134 5889 5973 6154 7059 7293 7701 9231 9966 11778 11946 14118 14586 15402 18462 21593 25883 27331 28237 33371 33847 40001 43186 51766 54662 56474 64779 66742 67694 77649 80002 81993 84711 100113 101541 120003 129558 155298 163986 169422 200226 203082 240006 300641 355303 367081 440011 464627 601282 710606 734162 880022 901923 929254 1065909 1101243 1320033 1393881 1803846 2131818 2202486 2640066 2787762 3908333 5110897 6040151 7816666 10221794 11724999 12080302 15332691 18120453 23449998 30665382 36240906 66441661 132883322 199324983 398649966