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78211896 = 2337717983
BaseRepresentation
bin1001010100101…
…10101100111000
312110011120112220
410222112230320
5130010240041
611432204040
71636535010
oct452265470
9173146486
1078211896
114016a834
1222239620
1313285539
14a55cc40
156cedd66
hex4a96b38

78211896 has 128 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 21490560.

The previous prime is 78211873. The next prime is 78211897. The reversal of 78211896 is 69811287.

It is a super-2 number, since 2×782118962 = 12234201351829632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78211897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942271 + ... + 942353.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 278211896 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 78211896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

78211896 is an abundant number, since it is smaller than the sum of its proper divisors (154031304).

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

78211896 is a wasteful number, since it uses less digits than its factorization.

78211896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 78211896 is about 8843.7489787985. The cubic root of 78211896 is about 427.6524240166.

The spelling of 78211896 in words is "seventy-eight million, two hundred eleven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 79 83 84 142 158 166 168 213 237 249 284 316 332 426 474 497 498 553 568 581 632 664 852 948 994 996 1106 1162 1491 1659 1704 1743 1896 1988 1992 2212 2324 2982 3318 3486 3976 4424 4648 5609 5893 5964 6557 6636 6972 11218 11786 11928 13114 13272 13944 16827 17679 19671 22436 23572 26228 33654 35358 39263 39342 41251 44872 45899 47144 52456 67308 70716 78526 78684 82502 91798 117789 123753 134616 137697 141432 157052 157368 165004 183596 235578 247506 275394 314104 330008 367192 465547 471156 495012 550788 931094 942312 990024 1101576 1396641 1862188 2793282 3258829 3724376 5586564 6517658 9776487 11173128 13035316 19552974 26070632 39105948 78211896