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445091040 = 25325309091
BaseRepresentation
bin11010100001111…
…000110011100000
31011000111222010100
4122201320303200
51402420403130
6112055502400
714013132342
oct3241706340
91130458110
10445091040
11209273539
12105087a00
137129b4a4
1443181292
152911dc60
hex1a878ce0

445091040 has 72 divisors (see below), whose sum is σ = 1518878088. Its totient is φ = 118690560.

The previous prime is 445091033. The next prime is 445091051. The reversal of 445091040 is 40190544.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 445090995 and 445091013.

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 11 ways as a sum of consecutive naturals, for example, 153106 + ... + 155985.

It is an arithmetic number, because the mean of its divisors is an integer number (21095529).

Almost surely, 2445091040 is an apocalyptic number.

445091040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445091040 is an abundant number, since it is smaller than the sum of its proper divisors (1073787048).

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

445091040 is a wasteful number, since it uses less digits than its factorization.

445091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309112 (or 309101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 445091040 is about 21097.1808543227. The cubic root of 445091040 is about 763.5127326138.

The spelling of 445091040 in words is "four hundred forty-five million, ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 309091 618182 927273 1236364 1545455 1854546 2472728 2781819 3090910 3709092 4636365 4945456 5563638 6181820 7418184 9272730 9890912 11127276 12363640 13909095 14836368 18545460 22254552 24727280 27818190 29672736 37090920 44509104 49454560 55636380 74181840 89018208 111272760 148363680 222545520 445091040