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998749609 = 112134172
BaseRepresentation
bin111011100001111…
…011010110101001
32120121022201220021
4323201323112221
54021134441414
6243034400441
733515142304
oct7341732651
92517281807
10998749609
1147284a400
1223a590121
1312bbc0000
1496903b3b
155ca35c24
hex3b87b5a9

998749609 has 45 divisors (see below), whose sum is σ = 1263351971. Its totient is φ = 788810880.

The previous prime is 998749579. The next prime is 998749639. The reversal of 998749609 is 906947899.

The square root of 998749609 is 31603.

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

It is an interprime number because it is at equal distance from previous prime (998749579) and next prime (998749639).

It can be written as a sum of positive squares in 7 ways, for example, as 911738025 + 87011584 = 30195^2 + 9328^2 .

It is not a de Polignac number, because 998749609 - 215 = 998716841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (998749639) 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, 58749969 + ... + 58749985.

Almost surely, 2998749609 is an apocalyptic number.

998749609 is the 31603-rd square number.

998749609 is the 15802-nd centered octagonal number.

It is an amenable number.

998749609 is a deficient number, since it is larger than the sum of its proper divisors (264602362).

998749609 is an equidigital number, since it uses as much as digits as its factorization.

998749609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 61.

The cubic root of 998749609 is about 999.5830291595.

The spelling of 998749609 in words is "nine hundred ninety-eight million, seven hundred forty-nine thousand, six hundred nine".

Divisors: 1 11 13 17 121 143 169 187 221 289 1573 1859 2057 2197 2431 2873 3179 3757 20449 24167 26741 28561 31603 34969 37349 41327 48841 265837 314171 347633 410839 454597 485537 537251 634933 3455881 4519229 5340907 5909761 6984263 8254129 58749977 76826893 90795419 998749609