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40555580 = 225131511033
BaseRepresentation
bin1001101010110…
…1010000111100
32211022102210112
42122231100330
540340234310
64005125152
71001500562
oct232552074
984272715
1040555580
112099000a
12116b97b8
13852c6b0
145559a32
153861705
hex26ad43c

40555580 has 48 divisors (see below), whose sum is σ = 92414784. Its totient is φ = 14860800.

The previous prime is 40555577. The next prime is 40555583. The reversal of 40555580 is 8555504.

40555580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40555577) and next prime (40555583).

It is a super-3 number, since 3×405555803 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40555583) 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, 38744 + ... + 39776.

It is an arithmetic number, because the mean of its divisors is an integer number (1925308).

Almost surely, 240555580 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 40555580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46207392).

40555580 is an abundant number, since it is smaller than the sum of its proper divisors (51859204).

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

40555580 is a wasteful number, since it uses less digits than its factorization.

40555580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The square root of 40555580 is about 6368.3263107350. The cubic root of 40555580 is about 343.5712953226.

The spelling of 40555580 in words is "forty million, five hundred fifty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1033 1510 1963 2066 3020 3926 4132 5165 7852 9815 10330 13429 19630 20660 26858 39260 53716 67145 134290 155983 268580 311966 623932 779915 1559830 2027779 3119660 4055558 8111116 10138895 20277790 40555580