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40778682 = 23721741199
BaseRepresentation
bin1001101110001…
…1101110111010
32211201202211120
42123203232322
540414404212
64014010110
71003420200
oct233435672
984652746
1040778682
112102269a
12117a6936
1385aa0c9
1455b7070
1538a788c
hex26e3bba

40778682 has 96 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 10644480.

The previous prime is 40778681. The next prime is 40778711. The reversal of 40778682 is 28687704.

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

It is not an unprimeable number, because it can be changed into a prime (40778681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204819 + ... + 205017.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 240778682 is an apocalyptic number.

40778682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40778682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

40778682 is an abundant number, since it is smaller than the sum of its proper divisors (62642118).

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

40778682 is a wasteful number, since it uses less digits than its factorization.

40778682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 40778682 is about 6385.8188198539. The cubic root of 40778682 is about 344.2001550611.

40778682 divided by its sum of digits (42) gives a triangular number (970921 = T1393).

The spelling of 40778682 in words is "forty million, seven hundred seventy-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 34 41 42 49 51 82 98 102 119 123 147 199 238 246 287 294 357 398 574 597 697 714 833 861 1194 1393 1394 1666 1722 2009 2091 2499 2786 3383 4018 4179 4182 4879 4998 6027 6766 8159 8358 9751 9758 10149 12054 14637 16318 19502 20298 23681 24477 29253 29274 34153 47362 48954 57113 58506 68306 71043 102459 114226 138703 142086 165767 171339 204918 277406 331534 342678 399791 416109 497301 799582 832218 970921 994602 1199373 1941842 2398746 2912763 5825526 6796447 13592894 20389341 40778682