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78329328 = 24371121193
BaseRepresentation
bin1001010101100…
…11010111110000
312110101112122020
410222303113300
5130023014303
611434511440
71640534250
oct452632760
9173345566
1078329328
114023aa90
1222295580
13132c6b1c
14a58d960
156d23a53
hex4ab35f0

78329328 has 80 divisors (see below), whose sum is σ = 252293376. Its totient is φ = 20344320.

The previous prime is 78329327. The next prime is 78329347. The reversal of 78329328 is 82392387.

It is a super-2 number, since 2×783293282 = 12270967249863168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 78329328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78329327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6901 + ... + 14292.

Almost surely, 278329328 is an apocalyptic number.

It is an amenable number.

78329328 is an abundant number, since it is smaller than the sum of its proper divisors (173964048).

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

78329328 is a wasteful number, since it uses less digits than its factorization.

78329328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21222 (or 21216 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 78329328 is about 8850.3857543047. The cubic root of 78329328 is about 427.8663512599.

The spelling of 78329328 in words is "seventy-eight million, three hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 21193 42386 63579 84772 127158 148351 169544 233123 254316 296702 339088 445053 466246 508632 593404 699369 890106 932492 1017264 1186808 1398738 1631861 1780212 1864984 2373616 2797476 3263722 3560424 3729968 4895583 5594952 6527444 7120848 9791166 11189904 13054888 19582332 26109776 39164664 78329328