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40778325 = 32527171523
BaseRepresentation
bin1001101110001…
…1101001010101
32211201202100100
42123203221111
540414401300
64014004313
71003416150
oct233435125
984652310
1040778325
11210223a5
12117a6699
1385a9bb3
1455b6c97
1538a7700
hex26e3a55

40778325 has 72 divisors (see below), whose sum is σ = 88440768. Its totient is φ = 17533440.

The previous prime is 40778293. The next prime is 40778327. The reversal of 40778325 is 52387704.

It is not a de Polignac number, because 40778325 - 25 = 40778293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40778325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40778327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26014 + ... + 27536.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 240778325 is an apocalyptic number.

40778325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40778325 is an abundant number, since it is smaller than the sum of its proper divisors (47662443).

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

40778325 is a wasteful number, since it uses less digits than its factorization.

40778325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 40778325 is about 6385.7908672302. The cubic root of 40778325 is about 344.1991506163.

The spelling of 40778325 in words is "forty million, seven hundred seventy-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 525 595 765 1071 1275 1523 1575 1785 2975 3825 4569 5355 7615 8925 10661 13707 22845 25891 26775 31983 38075 53305 68535 77673 95949 114225 129455 159915 181237 233019 266525 342675 388365 479745 543711 647275 799575 906185 1165095 1631133 1941825 2398725 2718555 4530925 5825475 8155665 13592775 40778325