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68474952 = 233272131493
BaseRepresentation
bin1000001010011…
…01100001001000
311202211212222100
410011031201020
5120012144302
610443353400
71461012300
oct405154110
9152755870
1068474952
113571a277
121ab22860
1311256630
149146600
156028d1c
hex414d848

68474952 has 144 divisors (see below), whose sum is σ = 232481340. Its totient is φ = 18047232.

The previous prime is 68474947. The next prime is 68474969. The reversal of 68474952 is 25947486.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68459076 + 15876 = 8274^2 + 126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 68474898 and 68474907.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45118 + ... + 46610.

Almost surely, 268474952 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 68474952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116240670).

68474952 is an abundant number, since it is smaller than the sum of its proper divisors (164006388).

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

68474952 is a wasteful number, since it uses less digits than its factorization.

68474952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1518 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 68474952 is about 8274.9593352475. The cubic root of 68474952 is about 409.1135956173.

The spelling of 68474952 in words is "sixty-eight million, four hundred seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1493 1638 1764 1911 2184 2548 2986 3276 3528 3822 4479 5096 5733 5972 6552 7644 8958 10451 11466 11944 13437 15288 17916 19409 20902 22932 26874 31353 35832 38818 41804 45864 53748 58227 62706 73157 77636 83608 94059 107496 116454 125412 135863 146314 155272 174681 188118 219471 232908 250824 271726 292628 349362 376236 407589 438942 465816 543452 585256 658413 698724 752472 815178 877884 951041 1086904 1222767 1316826 1397448 1630356 1755768 1902082 2445534 2633652 2853123 3260712 3804164 4891068 5267304 5706246 7608328 8559369 9782136 11412492 17118738 22824984 34237476 68474952