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68888064 = 293743149
BaseRepresentation
bin1000001101100…
…10011000000000
311210121212122210
410012302120000
5120113404224
610500302120
71464352560
oct406623000
9153555583
1068888064
1135981693
121b0a1940
131136c68b
149212da0
1560ab429
hex41b2600

68888064 has 160 divisors (see below), whose sum is σ = 216057600. Its totient is φ = 19095552.

The previous prime is 68888011. The next prime is 68888087. The reversal of 68888064 is 46088886.

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, 462262 + ... + 462410.

It is an arithmetic number, because the mean of its divisors is an integer number (1350360).

Almost surely, 268888064 is an apocalyptic number.

68888064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

68888064 is an abundant number, since it is smaller than the sum of its proper divisors (147169536).

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

68888064 is a wasteful number, since it uses less digits than its factorization.

68888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 68888064 is about 8299.8833726746. The cubic root of 68888064 is about 409.9346792626.

The spelling of 68888064 in words is "sixty-eight million, eight hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 149 168 172 192 224 256 258 298 301 336 344 384 447 448 512 516 596 602 672 688 768 894 896 903 1032 1043 1192 1204 1344 1376 1536 1788 1792 1806 2064 2086 2384 2408 2688 2752 3129 3576 3584 3612 4128 4172 4768 4816 5376 5504 6258 6407 7152 7224 8256 8344 9536 9632 10752 11008 12516 12814 14304 14448 16512 16688 19072 19221 19264 22016 25032 25628 28608 28896 33024 33376 38144 38442 38528 44849 50064 51256 57216 57792 66048 66752 76288 76884 77056 89698 100128 102512 114432 115584 133504 134547 153768 154112 179396 200256 205024 228864 231168 267008 269094 307536 358792 400512 410048 462336 534016 538188 615072 717584 801024 820096 1076376 1230144 1435168 1602048 1640192 2152752 2460288 2870336 3280384 4305504 4920576 5740672 8611008 9841152 11481344 17222016 22962688 34444032 68888064