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638977284 = 22321123832
BaseRepresentation
bin100110000101100…
…000010100000100
31122112100102001100
4212011200110010
52302034233114
6143223300100
721556134351
oct4605402404
91575312040
10638977284
112a8760100
12159baa630
13a24c4a8a
1460c11628
153b16b909
hex26160504

638977284 has 81 divisors (see below), whose sum is σ = 1780024519. Its totient is φ = 193123920.

The previous prime is 638977253. The next prime is 638977303. The reversal of 638977284 is 482779836.

The square root of 638977284 is 25278.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 638977284.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1668157 + ... + 1668539.

Almost surely, 2638977284 is an apocalyptic number.

638977284 is the 25278-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638977284

638977284 is an abundant number, since it is smaller than the sum of its proper divisors (1141047235).

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

638977284 is a wasteful number, since it uses less digits than its factorization.

638977284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The cubic root of 638977284 is about 861.3145948604.

The spelling of 638977284 in words is "six hundred thirty-eight million, nine hundred seventy-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 383 396 484 726 766 1089 1149 1452 1532 2178 2298 3447 4213 4356 4596 6894 8426 12639 13788 16852 25278 37917 46343 50556 75834 92686 139029 146689 151668 185372 278058 293378 417087 440067 556116 586756 834174 880134 1320201 1613579 1668348 1760268 2640402 3227158 4840737 5280804 6454316 9681474 14522211 17749369 19362948 29044422 35498738 53248107 58088844 70997476 106496214 159744321 212992428 319488642 638977284