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986644890 = 232572112432
BaseRepresentation
bin111010110011110…
…000000110011010
32112202112202100100
4322303300012122
54010040114030
6241523120230
733310225500
oct7263600632
92482482310
10986644890
11466a31a00
12236513076
1312954245a
1495072670
155b944360
hex3acf019a

986644890 has 324 divisors, whose sum is σ = 3358094922. Its totient is φ = 200249280.

The previous prime is 986644853. The next prime is 986644891. The reversal of 986644890 is 98446689.

986644890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 887980401 + 98664489 = 29799^2 + 9933^2 .

It is a super-2 number, since 2×9866448902 = 1946936277926224200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (986644891) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 22945209 + ... + 22945251.

Almost surely, 2986644890 is an apocalyptic number.

986644890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 986644890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679047461).

986644890 is an abundant number, since it is smaller than the sum of its proper divisors (2371450032).

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

986644890 is a wasteful number, since it uses less digits than its factorization.

986644890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 986644890 is about 31410.9039984525. The cubic root of 986644890 is about 995.5283306448.

It can be divided in two parts, 9866 and 44890, that added together give a square (54756 = 2342).

The spelling of 986644890 in words is "nine hundred eighty-six million, six hundred forty-four thousand, eight hundred ninety".