Search a number
-
+
78227646 = 23723471723
BaseRepresentation
bin1001010100110…
…10100010111110
312110012101011020
410222122202332
5130011241041
611432405010
71636631640
oct452324276
9173171136
1078227646
1140180652
1222246766
131328c763
14a564890
156d03866
hex4a9a8be

78227646 has 64 divisors (see below), whose sum is σ = 190660608. Its totient is φ = 20911968.

The previous prime is 78227641. The next prime is 78227647. The reversal of 78227646 is 64672287.

It is a super-2 number, since 2×782276462 = 12239129197402632, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 78227598 and 78227607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78227641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44541 + ... + 46263.

It is an arithmetic number, because the mean of its divisors is an integer number (2979072).

Almost surely, 278227646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78227646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95330304).

78227646 is an abundant number, since it is smaller than the sum of its proper divisors (112432962).

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

78227646 is a wasteful number, since it uses less digits than its factorization.

78227646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805.

The product of its digits is 225792, while the sum is 42.

The square root of 78227646 is about 8844.6393934405. The cubic root of 78227646 is about 427.6811284036.

The spelling of 78227646 in words is "seventy-eight million, two hundred twenty-seven thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 69 94 138 141 161 282 322 329 483 658 966 987 1081 1723 1974 2162 3243 3446 5169 6486 7567 10338 12061 15134 22701 24122 36183 39629 45402 72366 79258 80981 118887 161962 237774 242943 277403 485886 554806 566867 832209 1133734 1664418 1700601 1862563 3401202 3725126 5587689 11175378 13037941 26075882 39113823 78227646