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998270748 = 2232231816661
BaseRepresentation
bin111011100000000…
…110011100011100
32120120102102000200
4323200012130130
54021024130443
6243020223500
733511106226
oct7340063434
92516372020
10998270748
11472552652
1223a39ab90
1312ba83067
149681b416
155c98ddd3
hex3b80671c

998270748 has 72 divisors (see below), whose sum is σ = 2648065056. Its totient is φ = 316483200.

The previous prime is 998270743. The next prime is 998270759. The reversal of 998270748 is 847072899.

It is a junction number, because it is equal to n+sod(n) for n = 998270694 and 998270703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998270743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146538 + ... + 153198.

Almost surely, 2998270748 is an apocalyptic number.

998270748 is the 19983-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998270748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324032528).

998270748 is an abundant number, since it is smaller than the sum of its proper divisors (1649794308).

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

998270748 is a wasteful number, since it uses less digits than its factorization.

998270748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6875 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 998270748 is about 31595.4228963627. The cubic root of 998270748 is about 999.4232500902.

The spelling of 998270748 in words is "nine hundred ninety-eight million, two hundred seventy thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 181 207 276 362 414 543 724 828 1086 1629 2172 3258 4163 6516 6661 8326 12489 13322 16652 19983 24978 26644 37467 39966 49956 59949 74934 79932 119898 149868 153203 239796 306406 459609 612812 919218 1205641 1378827 1838436 2411282 2757654 3616923 4822564 5515308 7233846 10850769 14467692 21701538 27729743 43403076 55459486 83189229 110918972 166378458 249567687 332756916 499135374 998270748