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67913496 = 2332747261
BaseRepresentation
bin1000000110001…
…00011100011000
311201210100210200
410003010130120
5114341212441
610423342200
71453153350
oct403043430
9151710720
1067913496
1135376462
121a8b1960
13110bac01
14903bb60
155e677b6
hex40c4718

67913496 has 144 divisors (see below), whose sum is σ = 218297040. Its totient is φ = 18679680.

The previous prime is 67913479. The next prime is 67913509. The reversal of 67913496 is 69431976.

It is a super-2 number, since 2×679134962 = 9224485877884032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1113306 + ... + 1113366.

Almost surely, 267913496 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 67913496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109148520).

67913496 is an abundant number, since it is smaller than the sum of its proper divisors (150383544).

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

67913496 is a wasteful number, since it uses less digits than its factorization.

67913496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 120 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 67913496 is about 8240.9645066582. The cubic root of 67913496 is about 407.9923585651.

The spelling of 67913496 in words is "sixty-seven million, nine hundred thirteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 61 63 72 84 94 122 126 141 168 183 188 244 252 282 329 366 376 423 427 488 504 549 564 658 732 846 854 987 1098 1128 1281 1316 1464 1692 1708 1974 2196 2209 2562 2632 2867 2961 3384 3416 3843 3948 4392 4418 5124 5734 5922 6627 7686 7896 8601 8836 10248 11468 11844 13254 15372 15463 17202 17672 19881 20069 22936 23688 25803 26508 30744 30926 34404 39762 40138 46389 51606 53016 60207 61852 68808 79524 80276 92778 103212 120414 123704 134749 139167 159048 160552 180621 185556 206424 240828 269498 278334 361242 371112 404247 481656 538996 556668 722484 808494 943243 1077992 1113336 1212741 1444968 1616988 1886486 2425482 2829729 3233976 3772972 4850964 5659458 7545944 8489187 9701928 11318916 16978374 22637832 33956748 67913496