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97980288 = 273736451
BaseRepresentation
bin1011101011100…
…00111110000000
320211100220200120
411311300332000
5200040332123
613420020240
72266550550
oct565607600
9224326616
1097980288
115034204a
1228991680
13173b7403
14d027160
1589062e3
hex5d70f80

97980288 has 64 divisors (see below), whose sum is σ = 297448320. Its totient is φ = 27993600.

The previous prime is 97980277. The next prime is 97980313. The reversal of 97980288 is 88208979.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 97980288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15538 + ... + 20913.

It is an arithmetic number, because the mean of its divisors is an integer number (4647630).

Almost surely, 297980288 is an apocalyptic number.

It is an amenable number.

97980288 is an abundant number, since it is smaller than the sum of its proper divisors (199468032).

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

97980288 is a wasteful number, since it uses less digits than its factorization.

97980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36475 (or 36463 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 97980288 is about 9898.4992801939. The cubic root of 97980288 is about 461.0127152554.

The spelling of 97980288 in words is "ninety-seven million, nine hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 36451 72902 109353 145804 218706 255157 291608 437412 510314 583216 765471 874824 1020628 1166432 1530942 1749648 2041256 2332864 3061884 3499296 4082512 4665728 6123768 6998592 8165024 12247536 13997184 16330048 24495072 32660096 48990144 97980288