Search a number
-
+
78269408 = 257794423
BaseRepresentation
bin1001010101001…
…00101111100000
312110021111102222
410222210233200
5130014110113
611433330212
71640164460
oct452445740
9173244388
1078269408
11401a9a68
1222266968
13132a5779
14a575ba0
156d10e08
hex4aa4be0

78269408 has 48 divisors (see below), whose sum is σ = 178375680. Its totient is φ = 33111936.

The previous prime is 78269381. The next prime is 78269419. The reversal of 78269408 is 80496287.

It is a Cunningham number, because it is equal to 88472-1.

It is a super-2 number, since 2×782694082 = 12252200457340928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15485 + ... + 19907.

It is an arithmetic number, because the mean of its divisors is an integer number (3716160).

Almost surely, 278269408 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 78269408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89187840).

78269408 is an abundant number, since it is smaller than the sum of its proper divisors (100106272).

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

78269408 is a wasteful number, since it uses less digits than its factorization.

78269408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 78269408 is about 8846.9999434837. Note that the first 4 decimals coincide. The cubic root of 78269408 is about 427.7572210332.

The spelling of 78269408 in words is "seventy-eight million, two hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 4423 4424 8846 8848 17692 17696 30961 35384 61922 70768 123844 141536 247688 349417 495376 698834 990752 1397668 2445919 2795336 4891838 5590672 9783676 11181344 19567352 39134704 78269408