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445150040 = 23533733023
BaseRepresentation
bin11010100010000…
…111001101011000
31011000121222001112
4122202013031120
51402424300130
6112101035452
714013466346
oct3242071530
91130558045
10445150040
112093038a5
121050b5b88
13712bc2ba
1443198996
1529131495
hex1a887358

445150040 has 32 divisors (see below), whose sum is σ = 1004590080. Its totient is φ = 177526272.

The previous prime is 445150037. The next prime is 445150063. The reversal of 445150040 is 40051544.

It is a super-2 number, since 2×4451500402 = 396317116224003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445149988 and 445150015.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3032 + ... + 29991.

It is an arithmetic number, because the mean of its divisors is an integer number (31393440).

Almost surely, 2445150040 is an apocalyptic number.

445150040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445150040 is an abundant number, since it is smaller than the sum of its proper divisors (559440040).

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

445150040 is a wasteful number, since it uses less digits than its factorization.

445150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33371 (or 33367 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 445150040 is about 21098.5790990768. The cubic root of 445150040 is about 763.5464674807.

The spelling of 445150040 in words is "four hundred forty-five million, one hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 6740 13480 33023 66046 132092 165115 264184 330230 660460 1320920 11128751 22257502 44515004 55643755 89030008 111287510 222575020 445150040