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78493688 = 23721373211
BaseRepresentation
bin1001010110110…
…11011111111000
312110200220002122
410223123133320
5130043244223
611442220412
71642120400
oct453333770
9173626078
1078493688
1140342519
1222354708
1313353890
14a5d3800
156d575c8
hex4adb7f8

78493688 has 96 divisors (see below), whose sum is σ = 187785360. Its totient is φ = 30481920.

The previous prime is 78493673. The next prime is 78493699. The reversal of 78493688 is 88639487.

It is a happy number.

It is a super-2 number, since 2×784936882 = 12322518111682688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371903 + ... + 372113.

Almost surely, 278493688 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 78493688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93892680).

78493688 is an abundant number, since it is smaller than the sum of its proper divisors (109291672).

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

78493688 is a wasteful number, since it uses less digits than its factorization.

78493688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 78493688 is about 8859.6663594065. Note that the first 3 decimals coincide. The cubic root of 78493688 is about 428.1654090333.

The spelling of 78493688 in words is "seventy-eight million, four hundred ninety-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 73 91 98 104 146 182 196 211 292 364 392 422 511 584 637 728 844 949 1022 1274 1477 1688 1898 2044 2548 2743 2954 3577 3796 4088 5096 5486 5908 6643 7154 7592 10339 10972 11816 13286 14308 15403 19201 20678 21944 26572 28616 30806 38402 41356 46501 53144 61612 76804 82712 93002 107821 123224 134407 153608 186004 200239 215642 268814 372008 400478 431284 537628 754747 800956 862568 1075256 1401673 1509494 1601912 2803346 3018988 5606692 6037976 9811711 11213384 19623422 39246844 78493688