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997814052 = 22346774549
BaseRepresentation
bin111011011110010…
…110111100100100
32120112120012120000
4323132112330210
54020420022202
6243002341300
733504164604
oct7336267444
92515505500
10997814052
11472270514
1223a1ba830
1312b953221
149673cc04
155c8ed91c
hex3b796f24

997814052 has 60 divisors (see below), whose sum is σ = 2612910300. Its totient is φ = 332040384.

The previous prime is 997814029. The next prime is 997814063. The reversal of 997814052 is 250418799.

It can be written as a sum of positive squares in 2 ways, for example, as 905769216 + 92044836 = 30096^2 + 9594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 997813989 and 997814007.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217074 + ... + 221622.

It is an arithmetic number, because the mean of its divisors is an integer number (43548505).

Almost surely, 2997814052 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 997814052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306455150).

997814052 is an abundant number, since it is smaller than the sum of its proper divisors (1615096248).

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

997814052 is a wasteful number, since it uses less digits than its factorization.

With its successor (997814053) it forms an eRAP, since the sums of their prime factors are consecutive (5242 and 5243).

997814052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 997814052 is about 31588.1948202173. The cubic root of 997814052 is about 999.2708190911.

The spelling of 997814052 in words is "nine hundred ninety-seven million, eight hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 677 1354 2031 2708 4062 4549 6093 8124 9098 12186 13647 18196 18279 24372 27294 36558 40941 54588 54837 73116 81882 109674 122823 163764 219348 245646 368469 491292 736938 1473876 3079673 6159346 9239019 12318692 18478038 27717057 36956076 55434114 83151171 110868228 166302342 249453513 332604684 498907026 997814052