Search a number
-
+
78065424 = 24331571151
BaseRepresentation
bin1001010011100…
…10111100010000
312102220010122000
410221302330100
5124441043144
611425114000
71635354663
oct451627420
9172803560
1078065424
114007a788
1222188900
1313233978
14a5216da
156cc0769
hex4a72f10

78065424 has 80 divisors (see below), whose sum is σ = 225699840. Its totient is φ = 25833600.

The previous prime is 78065417. The next prime is 78065441. The reversal of 78065424 is 42456087.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67249 + ... + 68399.

It is an arithmetic number, because the mean of its divisors is an integer number (2821248).

Almost surely, 278065424 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 78065424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112849920).

78065424 is an abundant number, since it is smaller than the sum of its proper divisors (147634416).

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

78065424 is a wasteful number, since it uses less digits than its factorization.

78065424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 78065424 is about 8835.4639946072. The cubic root of 78065424 is about 427.3852939403.

The spelling of 78065424 in words is "seventy-eight million, sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1151 1256 1413 1884 2302 2512 2826 3453 3768 4239 4604 5652 6906 7536 8478 9208 10359 11304 13812 16956 18416 20718 22608 27624 31077 33912 41436 55248 62154 67824 82872 124308 165744 180707 248616 361414 497232 542121 722828 1084242 1445656 1626363 2168484 2891312 3252726 4336968 4879089 6505452 8673936 9758178 13010904 19516356 26021808 39032712 78065424