Search a number
-
+
78355640 = 23511374813
BaseRepresentation
bin1001010101110…
…01110010111000
312110102212201202
410222321302320
5130024340030
611435233332
71641004046
oct452716270
9173385652
1078355640
1140258830
12222a8848
1313305aac
14a599396
156d2b745
hex4ab9cb8

78355640 has 64 divisors (see below), whose sum is σ = 197566560. Its totient is φ = 27717120.

The previous prime is 78355637. The next prime is 78355663. The reversal of 78355640 is 4655387.

It is a super-2 number, since 2×783556402 = 12279212639619200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78355594 and 78355603.

It is a congruent number.

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, 13874 + ... + 18686.

Almost surely, 278355640 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 78355640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98783280).

78355640 is an abundant number, since it is smaller than the sum of its proper divisors (119210920).

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

78355640 is a wasteful number, since it uses less digits than its factorization.

78355640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 78355640 is about 8851.8721183713. The cubic root of 78355640 is about 427.9142548118.

The spelling of 78355640 in words is "seventy-eight million, three hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 4813 8140 9626 16280 19252 24065 38504 48130 52943 96260 105886 178081 192520 211772 264715 356162 423544 529430 712324 890405 1058860 1424648 1780810 1958891 2117720 3561620 3917782 7123240 7835564 9794455 15671128 19588910 39177820 78355640