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40778892 = 223271147313
BaseRepresentation
bin1001101110001…
…1110010001100
32211201210010100
42123203302030
540414411032
64014011100
71003420620
oct233436214
984653110
1040778892
1121022870
12117a6a90
1385aa22b
1455b7180
1538a797c
hex26e3c8c

40778892 has 144 divisors (see below), whose sum is σ = 131668992. Its totient is φ = 10333440.

The previous prime is 40778873. The next prime is 40778923. The reversal of 40778892 is 29887704.

40778892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 130128 + ... + 130440.

It is an arithmetic number, because the mean of its divisors is an integer number (914368).

Almost surely, 240778892 is an apocalyptic number.

40778892 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40778892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65834496).

40778892 is an abundant number, since it is smaller than the sum of its proper divisors (90890100).

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

40778892 is a wasteful number, since it uses less digits than its factorization.

40778892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 40778892 is about 6385.8352625166. The cubic root of 40778892 is about 344.2007459083.

The spelling of 40778892 in words is "forty million, seven hundred seventy-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 47 63 66 77 84 94 99 126 132 141 154 188 198 231 252 282 308 313 329 396 423 462 517 564 626 658 693 846 924 939 987 1034 1252 1316 1386 1551 1692 1878 1974 2068 2191 2772 2817 2961 3102 3443 3619 3756 3948 4382 4653 5634 5922 6204 6573 6886 7238 8764 9306 10329 10857 11268 11844 13146 13772 14476 14711 18612 19719 20658 21714 24101 26292 29422 30987 32571 39438 41316 43428 44133 48202 58844 61974 65142 72303 78876 88266 96404 102977 123948 130284 132399 144606 161821 176532 205954 216909 264798 289212 308931 323642 411908 433818 485463 529596 617862 647284 867636 926793 970926 1132747 1235724 1456389 1853586 1941852 2265494 2912778 3398241 3707172 4530988 5825556 6796482 10194723 13592964 20389446 40778892