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40778408 = 231119293
BaseRepresentation
bin1001101110001…
…1101010101000
32211201202110102
42123203222220
540414402113
64014004532
71003416326
oct233435250
984652412
1040778408
1121022470
12117a6748
1385a9c48
1455b6d16
1538a7758
hex26e3aa8

40778408 has 64 divisors (see below), whose sum is σ = 90936000. Its totient is φ = 16954560.

The previous prime is 40778407. The next prime is 40778453. The reversal of 40778408 is 80487704.

40778408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (40778401) 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 15 ways as a sum of consecutive naturals, for example, 1406138 + ... + 1406166.

It is an arithmetic number, because the mean of its divisors is an integer number (1420875).

Almost surely, 240778408 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 40778408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45468000).

40778408 is an abundant number, since it is smaller than the sum of its proper divisors (50157592).

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

40778408 is a wasteful number, since it uses less digits than its factorization.

40778408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 40778408 is about 6385.7973660303. The cubic root of 40778408 is about 344.1993841432.

The spelling of 40778408 in words is "forty million, seven hundred seventy-eight thousand, four hundred eight".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 76 88 116 152 209 232 319 418 551 638 836 841 1102 1276 1672 1682 2204 2552 3364 4408 6061 6728 9251 12122 15979 18502 24244 24389 31958 37004 48488 48778 63916 74008 97556 127832 175769 195112 268279 351538 463391 536558 703076 926782 1073116 1406152 1853564 2146232 3707128 5097301 10194602 20389204 40778408