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67944492 = 2232711127193
BaseRepresentation
bin1000000110011…
…00000000101100
311201211221022200
410003030000230
5114343210432
610424141500
71453342620
oct403140054
9151757280
1067944492
1135397780
121a907890
13110cc055
149049180
155e71a7c
hex40cc02c

67944492 has 144 divisors (see below), whose sum is σ = 216932352. Its totient is φ = 17418240.

The previous prime is 67944491. The next prime is 67944493. The reversal of 67944492 is 29444976.

It is an interprime number because it is at equal distance from previous prime (67944491) and next prime (67944493).

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

It is not an unprimeable number, because it can be changed into a prime (67944491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351948 + ... + 352140.

Almost surely, 267944492 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 67944492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108466176).

67944492 is an abundant number, since it is smaller than the sum of its proper divisors (148987860).

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

67944492 is a wasteful number, since it uses less digits than its factorization.

67944492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 343 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 67944492 is about 8242.8448972427. The cubic root of 67944492 is about 408.0544189235.

The spelling of 67944492 in words is "sixty-seven million, nine hundred forty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 127 132 154 193 198 231 252 254 308 381 386 396 462 508 579 693 762 772 889 924 1143 1158 1351 1386 1397 1524 1737 1778 2123 2286 2316 2667 2702 2772 2794 3474 3556 4053 4191 4246 4572 5334 5404 5588 6369 6948 8001 8106 8382 8492 9779 10668 12159 12573 12738 14861 16002 16212 16764 19107 19558 24318 24511 25146 25476 29337 29722 32004 38214 39116 44583 48636 49022 50292 58674 59444 73533 76428 88011 89166 98044 117348 133749 147066 171577 176022 178332 220599 267498 269621 294132 343154 352044 441198 514731 534996 539242 686308 808863 882396 1029462 1078484 1544193 1617726 1887347 2058924 2426589 3088386 3235452 3774694 4853178 5662041 6176772 7549388 9706356 11324082 16986123 22648164 33972246 67944492