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78909138 = 232711172197
BaseRepresentation
bin1001011010000…
…00111011010010
312111110222222200
410231000323102
5130200043023
611455144030
71645500540
oct455007322
9174428880
1078909138
11405a6670
1222515016
131346a9c9
14a6a0d90
156dda743
hex4b40ed2

78909138 has 144 divisors (see below), whose sum is σ = 227582784. Its totient is φ = 19192320.

The previous prime is 78909119. The next prime is 78909139. The reversal of 78909138 is 83190987.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 78909093 and 78909102.

It is not an unprimeable number, because it can be changed into a prime (78909139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 400456 + ... + 400652.

It is an arithmetic number, because the mean of its divisors is an integer number (1580436).

Almost surely, 278909138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78909138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113791392).

78909138 is an abundant number, since it is smaller than the sum of its proper divisors (148673646).

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

78909138 is a wasteful number, since it uses less digits than its factorization.

78909138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 78909138 is about 8883.0815599093. The cubic root of 78909138 is about 428.9194756520.

The spelling of 78909138 in words is "seventy-eight million, nine hundred nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 197 198 231 238 289 306 357 374 394 462 561 578 591 693 714 867 1071 1122 1182 1309 1379 1386 1683 1734 1773 2023 2142 2167 2601 2618 2758 3179 3349 3366 3546 3927 4046 4137 4334 5202 6069 6358 6501 6698 7854 8274 9537 10047 11781 12138 12411 13002 15169 18207 19074 19503 20094 22253 23443 23562 24822 28611 30141 30338 36414 36839 39006 44506 45507 46886 56933 57222 60282 66759 70329 73678 91014 110517 113866 133518 136521 140658 170799 200277 210987 221034 257873 273042 331551 341598 398531 400554 421974 512397 515746 626263 663102 773619 797062 1024794 1195593 1252526 1547238 1878789 2320857 2391186 3586779 3757578 4383841 4641714 5636367 7173558 8767682 11272734 13151523 26303046 39454569 78909138