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488705664 = 27317431741
BaseRepresentation
bin11101001000010…
…000111010000000
31021001120211010210
4131020100322000
52000102040124
6120254354120
715052633566
oct3510207200
91231524123
10488705664
11230952887
121177bb940
137a32c365
1448c95a36
152cd86a29
hex1d210e80

488705664 has 128 divisors (see below), whose sum is σ = 1407257280. Its totient is φ = 149667840.

The previous prime is 488705629. The next prime is 488705683. The reversal of 488705664 is 466507884.

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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279834 + ... + 281574.

Almost surely, 2488705664 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 488705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703628640).

488705664 is an abundant number, since it is smaller than the sum of its proper divisors (918551616).

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

488705664 is a wasteful number, since it uses less digits than its factorization.

488705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 488705664 is about 22106.6882187269. The cubic root of 488705664 is about 787.6787407832.

The spelling of 488705664 in words is "four hundred eighty-eight million, seven hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 258 272 344 384 408 516 544 688 731 816 1032 1088 1376 1462 1632 1741 2064 2176 2193 2752 2924 3264 3482 4128 4386 5223 5504 5848 6528 6964 8256 8772 10446 11696 13928 16512 17544 20892 23392 27856 29597 35088 41784 46784 55712 59194 70176 74863 83568 88791 93568 111424 118388 140352 149726 167136 177582 222848 224589 236776 280704 299452 334272 355164 449178 473552 598904 668544 710328 898356 947104 1197808 1272671 1420656 1796712 1894208 2395616 2545342 2841312 3593424 3788416 3818013 4791232 5090684 5682624 7186848 7636026 9582464 10181368 11365248 14373696 15272052 20362736 28747392 30544104 40725472 61088208 81450944 122176416 162901888 244352832 488705664