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998992656 = 24338532711
BaseRepresentation
bin111011100010110…
…110101100010000
32120121210002022000
4323202312230100
54021220231111
6243043514000
733520204014
oct7342665420
92517702260
10998992656
114729a5a72
1223a688900
1312bc7681c
1496968544
155ca82c56
hex3b8b6b10

998992656 has 80 divisors (see below), whose sum is σ = 2871899520. Its totient is φ = 332484480.

The previous prime is 998992651. The next prime is 998992691. The reversal of 998992656 is 656299899.

998992656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 998992593 and 998992602.

It is not an unprimeable number, because it can be changed into a prime (998992651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367141 + ... + 369851.

It is an arithmetic number, because the mean of its divisors is an integer number (35898744).

Almost surely, 2998992656 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 998992656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435949760).

998992656 is an abundant number, since it is smaller than the sum of its proper divisors (1872906864).

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

998992656 is a wasteful number, since it uses less digits than its factorization.

998992656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3569 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The square root of 998992656 is about 31606.8450814060. The cubic root of 998992656 is about 999.6641058544.

The spelling of 998992656 in words is "nine hundred ninety-eight million, nine hundred ninety-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 853 1706 2559 2711 3412 5118 5422 6824 7677 8133 10236 10844 13648 15354 16266 20472 21688 23031 24399 30708 32532 40944 43376 46062 48798 61416 65064 73197 92124 97596 122832 130128 146394 184248 195192 292788 368496 390384 585576 1171152 2312483 4624966 6937449 9249932 13874898 18499864 20812347 27749796 36999728 41624694 55499592 62437041 83249388 110999184 124874082 166498776 249748164 332997552 499496328 998992656