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988284969 = 34724992
BaseRepresentation
bin111010111010000…
…000100000101001
32112212122002010000
4322322000200221
54011000104334
6242022213213
733330166200
oct7272004051
92485562100
10988284969
11467952141
12236b84209
13129997b09
149537c237
155bb6a299
hex3ae80829

988284969 has 45 divisors (see below), whose sum is σ = 1720808397. Its totient is φ = 563602536.

The previous prime is 988284967. The next prime is 988284977. The reversal of 988284969 is 969482889.

The square root of 988284969 is 31437.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 988284969 - 21 = 988284967 is a prime.

It is a super-2 number, since 2×9882849692 = 1953414359902661922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (17915904) is a multiple of the sum of its prime factors (1024).

It is not an unprimeable number, because it can be changed into a prime (988284967) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1980282 + ... + 1980780.

Almost surely, 2988284969 is an apocalyptic number.

988284969 is the 31437-th square number.

988284969 is the 15719-th centered octagonal number.

It is an amenable number.

988284969 is a deficient number, since it is larger than the sum of its proper divisors (732523428).

988284969 is an frugal number, since it uses more digits than its factorization.

988284969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 509 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The cubic root of 988284969 is about 996.0796405326.

The spelling of 988284969 in words is "nine hundred eighty-eight million, two hundred eighty-four thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 499 567 1323 1497 3493 3969 4491 10479 13473 24451 31437 40419 73353 94311 220059 249001 282933 660177 747003 1743007 1980531 2241009 5229021 6723027 12201049 15687063 20169081 36603147 47061189 109809441 141183567 329428323 988284969