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78275040 = 2535313521
BaseRepresentation
bin1001010101001…
…10000111100000
312110021210011120
410222212013200
5130014300130
611433412240
71640220054
oct452460740
9173253146
1078275040
1140203218
122226a080
13132a81bc
14a577c64
156d12910
hex4aa61e0

78275040 has 96 divisors (see below), whose sum is σ = 247828896. Its totient is φ = 20766720.

The previous prime is 78275039. The next prime is 78275051. The reversal of 78275040 is 4057287.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×782750402 = 12253963774003200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78274992 and 78275010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149980 + ... + 150500.

It is an arithmetic number, because the mean of its divisors is an integer number (2581551).

Almost surely, 278275040 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 78275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123914448).

78275040 is an abundant number, since it is smaller than the sum of its proper divisors (169553856).

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

78275040 is a wasteful number, since it uses less digits than its factorization.

78275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 78275040 is about 8847.3182377487. The cubic root of 78275040 is about 427.7674807714.

The spelling of 78275040 in words is "seventy-eight million, two hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 480 521 626 939 1042 1252 1563 1565 1878 2084 2504 2605 3126 3130 3756 4168 4695 5008 5210 6252 6260 7512 7815 8336 9390 10016 10420 12504 12520 15024 15630 16672 18780 20840 25008 25040 30048 31260 37560 41680 50016 50080 62520 75120 83360 125040 150240 163073 250080 326146 489219 652292 815365 978438 1304584 1630730 1956876 2446095 2609168 3261460 3913752 4892190 5218336 6522920 7827504 9784380 13045840 15655008 19568760 26091680 39137520 78275040