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68477904 = 243211172543
BaseRepresentation
bin1000001010011…
…10001111010000
311202212001000200
410011032033100
5120012243104
610443415200
71461024015
oct405161720
9152761020
1068477904
1135721510
121ab24500
1311257a91
14914770c
156029b39
hex414e3d0

68477904 has 120 divisors (see below), whose sum is σ = 221450112. Its totient is φ = 19522560.

The previous prime is 68477897. The next prime is 68477939. The reversal of 68477904 is 40977486.

It is a self number, because there is not a number n which added to its sum of digits gives 68477904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25657 + ... + 28199.

Almost surely, 268477904 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 68477904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110725056).

68477904 is an abundant number, since it is smaller than the sum of its proper divisors (152972208).

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

68477904 is a wasteful number, since it uses less digits than its factorization.

68477904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 68477904 is about 8275.1377027817. The cubic root of 68477904 is about 409.1194745844.

The spelling of 68477904 in words is "sixty-eight million, four hundred seventy-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2543 2992 3366 4488 5086 6732 7629 8976 10172 13464 15258 20344 22887 26928 27973 30516 40688 43231 45774 55946 61032 83919 86462 91548 111892 122064 129693 167838 172924 183096 223784 251757 259386 335676 345848 366192 389079 447568 475541 503514 518772 671352 691696 778158 951082 1007028 1037544 1342704 1426623 1556316 1902164 2014056 2075088 2853246 3112632 3804328 4028112 4279869 5706492 6225264 7608656 8559738 11412984 17119476 22825968 34238952 68477904