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68798592 = 2733171171
BaseRepresentation
bin1000001100111…
…00100010000000
311210110022221000
410012130202000
5120103023332
610454332000
71463530662
oct406344200
9153408830
1068798592
1135920445
121b05a000
131133aa35
1491cc532
15608eb7c
hex419c880

68798592 has 128 divisors (see below), whose sum is σ = 215179200. Its totient is φ = 21565440.

The previous prime is 68798591. The next prime is 68798621. The reversal of 68798592 is 29589786.

It is a happy number.

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

It is a super-3 number, since 3×687985923 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68798591) 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, 58167 + ... + 59337.

Almost surely, 268798592 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 68798592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107589600).

68798592 is an abundant number, since it is smaller than the sum of its proper divisors (146380608).

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

68798592 is a wasteful number, since it uses less digits than its factorization.

68798592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1193 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 68798592 is about 8294.4916661601. The cubic root of 68798592 is about 409.7571276231.

The spelling of 68798592 in words is "sixty-eight million, seven hundred ninety-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1171 1224 1632 1728 1836 2176 2342 2448 3264 3456 3513 3672 4684 4896 6528 7026 7344 9368 9792 10539 14052 14688 18736 19584 19907 21078 28104 29376 31617 37472 39814 42156 56208 58752 59721 63234 74944 79628 84312 112416 119442 126468 149888 159256 168624 179163 224832 238884 252936 318512 337248 358326 449664 477768 505872 537489 637024 674496 716652 955536 1011744 1074978 1274048 1348992 1433304 1911072 2023488 2149956 2548096 2866608 3822144 4046976 4299912 5733216 7644288 8599824 11466432 17199648 22932864 34399296 68798592