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67257696 = 2531163691
BaseRepresentation
bin1000000001001…
…00010101100000
311200120001012210
410000210111200
5114204221241
610401322120
71444452402
oct400442540
9150501183
1067257696
1134a68780
121a636340
1310c1b56c
148d0ab72
155d88316
hex4024560

67257696 has 48 divisors (see below), whose sum is σ = 192604608. Its totient is φ = 20380800.

The previous prime is 67257691. The next prime is 67257703. The reversal of 67257696 is 69675276.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67257691) 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, 30790 + ... + 32901.

It is an arithmetic number, because the mean of its divisors is an integer number (4012596).

Almost surely, 267257696 is an apocalyptic number.

67257696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

67257696 is an abundant number, since it is smaller than the sum of its proper divisors (125346912).

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

67257696 is a wasteful number, since it uses less digits than its factorization.

67257696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63715 (or 63707 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 67257696 is about 8201.0789534061. The cubic root of 67257696 is about 406.6748626256.

The spelling of 67257696 in words is "sixty-seven million, two hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 63691 127382 191073 254764 382146 509528 700601 764292 1019056 1401202 1528584 2038112 2101803 2802404 3057168 4203606 5604808 6114336 8407212 11209616 16814424 22419232 33628848 67257696