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68894592 = 2731337373
BaseRepresentation
bin1000001101100…
…11111110000000
311210122012121120
410012303332000
5120114111332
610500352240
71464410604
oct406637600
9153565546
1068894592
1135986588
121b0a5680
1311372640
149215504
1560ad32c
hex41b3f80

68894592 has 128 divisors (see below), whose sum is σ = 202947360. Its totient is φ = 20570112.

The previous prime is 68894587. The next prime is 68894597. The reversal of 68894592 is 29549886.

It is an interprime number because it is at equal distance from previous prime (68894587) and next prime (68894597).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68894597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184518 + ... + 184890.

Almost surely, 268894592 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 68894592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101473680).

68894592 is an abundant number, since it is smaller than the sum of its proper divisors (134052768).

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

68894592 is a wasteful number, since it uses less digits than its factorization.

68894592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 68894592 is about 8300.2766218964. The cubic root of 68894592 is about 409.9476276550.

The spelling of 68894592 in words is "sixty-eight million, eight hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 296 312 373 384 416 444 481 592 624 746 832 888 962 1119 1184 1248 1443 1492 1664 1776 1924 2238 2368 2496 2886 2984 3552 3848 4476 4736 4849 4992 5772 5968 7104 7696 8952 9698 11544 11936 13801 14208 14547 15392 17904 19396 23088 23872 27602 29094 30784 35808 38792 41403 46176 47744 55204 58188 61568 71616 77584 82806 92352 110408 116376 143232 155168 165612 179413 184704 220816 232752 310336 331224 358826 441632 465504 538239 620672 662448 717652 883264 931008 1076478 1324896 1435304 1766528 1862016 2152956 2649792 2870608 4305912 5299584 5741216 8611824 11482432 17223648 22964864 34447296 68894592