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68349952 = 212113741
BaseRepresentation
bin1000001001011…
…11000000000000
311202121112111201
410010233000000
5114444144302
610440550544
71456651666
oct404570000
9152545451
1068349952
1135644370
121aa82454
1311211778
149112c36
156001c87
hex412f000

68349952 has 104 divisors (see below), whose sum is σ = 156874032. Its totient is φ = 29491200.

The previous prime is 68349949. The next prime is 68349959. The reversal of 68349952 is 25994386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68349959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1667052 + ... + 1667092.

Almost surely, 268349952 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 68349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78437016).

68349952 is an abundant number, since it is smaller than the sum of its proper divisors (88524080).

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

68349952 is a wasteful number, since it uses less digits than its factorization.

68349952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 68349952 is about 8267.4029779611. The cubic root of 68349952 is about 408.8645004007.

The spelling of 68349952 in words is "sixty-eight million, three hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 37 41 44 64 74 82 88 128 148 164 176 256 296 328 352 407 451 512 592 656 704 814 902 1024 1184 1312 1408 1517 1628 1804 2048 2368 2624 2816 3034 3256 3608 4096 4736 5248 5632 6068 6512 7216 9472 10496 11264 12136 13024 14432 16687 18944 20992 22528 24272 26048 28864 33374 37888 41984 45056 48544 52096 57728 66748 75776 83968 97088 104192 115456 133496 151552 167936 194176 208384 230912 266992 388352 416768 461824 533984 776704 833536 923648 1067968 1553408 1667072 1847296 2135936 3106816 4271872 6213632 8543744 17087488 34174976 68349952