Search a number
-
+
998476644 = 2231123311032
BaseRepresentation
bin111011100000111…
…000101101100100
32120120210212110110
4323200320231210
54021102223034
6243024453020
733512624424
oct7340705544
92516725413
10998476644
11472683310
1223a47a170
1312bb259a9
1496872484
155c9cede9
hex3b838b64

998476644 has 144 divisors (see below), whose sum is σ = 2764468224. Its totient is φ = 277358400.

The previous prime is 998476639. The next prime is 998476651. The reversal of 998476644 is 446674899.

998476644 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 2×9984766442 = 1993911217227005472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9693897 + ... + 9693999.

It is an arithmetic number, because the mean of its divisors is an integer number (19197696).

Almost surely, 2998476644 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 998476644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382234112).

998476644 is an abundant number, since it is smaller than the sum of its proper divisors (1765991580).

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

998476644 is a wasteful number, since it uses less digits than its factorization.

998476644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 173 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 998476644 is about 31598.6810484235. The cubic root of 998476644 is about 999.4919566023.

It can be divided in two parts, 99847 and 6644, that added together give a triangular number (106491 = T461).

The spelling of 998476644 in words is "nine hundred ninety-eight million, four hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 103 124 132 138 186 206 253 276 309 341 372 412 506 618 682 713 759 1012 1023 1133 1236 1364 1426 1518 2046 2139 2266 2369 2852 3036 3193 3399 4092 4278 4532 4738 6386 6798 7107 7843 8556 9476 9579 10609 12772 13596 14214 15686 19158 21218 23529 26059 28428 31372 31827 35123 38316 42436 47058 52118 63654 70246 73439 78177 94116 104236 105369 116699 127308 140492 146878 156354 210738 220317 233398 244007 293756 312708 328879 350097 421476 440634 466796 488014 657758 700194 732021 807829 881268 976028 986637 1315516 1400388 1464042 1615658 1973274 2423487 2684077 2928084 3231316 3617669 3946548 4846974 5368154 7235338 7564217 8052231 9693948 10736308 10853007 14470676 15128434 16104462 21706014 22692651 30256868 32208924 43412028 45385302 83206387 90770604 166412774 249619161 332825548 499238322 998476644