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200389248 = 2733232521
BaseRepresentation
bin10111111000110…
…11001010000000
3111222001211101000
423330123022000
5402244423443
631515012000
74652165133
oct1374331200
9458054330
10200389248
11a3129454
125713a000
1332692527
141c88421a
15128d48d3
hexbf1b280

200389248 has 128 divisors (see below), whose sum is σ = 617385600. Its totient is φ = 63866880.

The previous prime is 200389223. The next prime is 200389253. The reversal of 200389248 is 842983002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 78228 + ... + 80748.

It is an arithmetic number, because the mean of its divisors is an integer number (4823325).

Almost surely, 2200389248 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 200389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308692800).

200389248 is an abundant number, since it is smaller than the sum of its proper divisors (416996352).

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

200389248 is a wasteful number, since it uses less digits than its factorization.

200389248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 200389248 is about 14155.8909292210. The cubic root of 200389248 is about 585.1826911330.

The spelling of 200389248 in words is "two hundred million, three hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2521 2944 3312 3456 4416 4968 5042 6624 7563 8832 9936 10084 13248 15126 19872 20168 22689 26496 30252 39744 40336 45378 57983 60504 68067 79488 80672 90756 115966 121008 136134 161344 173949 181512 231932 242016 272268 322688 347898 363024 463864 484032 521847 544536 695796 726048 927728 968064 1043694 1089072 1391592 1452096 1565541 1855456 2087388 2178144 2783184 2904192 3131082 3710912 4174776 4356288 5566368 6262164 7421824 8349552 8712576 11132736 12524328 16699104 22265472 25048656 33398208 50097312 66796416 100194624 200389248