Search a number
-
+
78892086 = 23713315979
BaseRepresentation
bin1001011001111…
…00110000110110
312111110010121010
410230330300312
5130144021321
611454533050
71645400040
oct454746066
9174403533
1078892086
1140594879
1222507186
1313463010
14a698a90
156dd5676
hex4b3cc36

78892086 has 128 divisors (see below), whose sum is σ = 206438400. Its totient is φ = 19543680.

The previous prime is 78892069. The next prime is 78892133. The reversal of 78892086 is 68029887.

It is a happy number.

It is a super-2 number, since 2×788920862 = 12447922466862792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 998595 + ... + 998673.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 278892086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78892086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103219200).

78892086 is an abundant number, since it is smaller than the sum of its proper divisors (127546314).

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

78892086 is a wasteful number, since it uses less digits than its factorization.

78892086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194.

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 78892086 is about 8882.1217059889. The cubic root of 78892086 is about 428.8885774063. Note that the first 3 decimals are identical.

The spelling of 78892086 in words is "seventy-eight million, eight hundred ninety-two thousand, eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 59 62 78 79 91 93 118 158 177 182 186 217 237 273 354 403 413 434 474 546 553 651 767 806 826 1027 1106 1209 1239 1302 1534 1659 1829 2054 2301 2418 2449 2478 2821 3081 3318 3658 4602 4661 4898 5369 5487 5642 6162 7189 7347 8463 9322 10738 10974 12803 13983 14378 14694 16107 16926 17143 21567 23777 25606 27966 31837 32214 32627 34286 38409 43134 47554 51429 60593 63674 65254 71331 76818 95511 97881 102858 121186 142662 144491 166439 181779 191022 195762 222859 288982 332878 363558 424151 433473 445718 499317 668577 848302 866946 998634 1011437 1272453 1337154 1878383 2022874 2544906 3034311 3756766 5635149 6068622 11270298 13148681 26297362 39446043 78892086