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67248896 = 2811213167
BaseRepresentation
bin1000000001000…
…10001100000000
311200112121010212
410000202030000
5114203431041
610401213252
71444414631
oct400421400
9150477125
1067248896
1134a62100
121a631228
1310c17560
148d07888
155d858eb
hex4022300

67248896 has 108 divisors (see below), whose sum is σ = 159848976. Its totient is φ = 28047360.

The previous prime is 67248893. The next prime is 67248911. The reversal of 67248896 is 69884276.

It is not an unprimeable number, because it can be changed into a prime (67248893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402605 + ... + 402771.

Almost surely, 267248896 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 67248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79924488).

67248896 is an abundant number, since it is smaller than the sum of its proper divisors (92600080).

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

67248896 is a wasteful number, since it uses less digits than its factorization.

67248896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 67248896 is about 8200.5424210841. The cubic root of 67248896 is about 406.6571253995.

The spelling of 67248896 in words is "sixty-seven million, two hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 167 176 208 242 256 286 334 352 416 484 572 668 704 832 968 1144 1336 1408 1573 1664 1837 1936 2171 2288 2672 2816 3146 3328 3674 3872 4342 4576 5344 6292 7348 7744 8684 9152 10688 12584 14696 15488 17368 18304 20207 21376 23881 25168 29392 30976 34736 36608 40414 42752 47762 50336 58784 69472 80828 95524 100672 117568 138944 161656 191048 201344 235136 262691 277888 323312 382096 402688 470272 525382 555776 646624 764192 1050764 1293248 1528384 2101528 2586496 3056768 4203056 5172992 6113536 8406112 16812224 33624448 67248896