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575555040 = 25325399691
BaseRepresentation
bin100010010011100…
…100010111100000
31111010000020002100
4202103210113200
52134320230130
6133040050400
720156065014
oct4223442740
91433006070
10575555040
11275982025
12140903a00
139231a218
1456622544
15357dec60
hex224e45e0

575555040 has 72 divisors (see below), whose sum is σ = 1964086488. Its totient is φ = 153480960.

The previous prime is 575555023. The next prime is 575555051. The reversal of 575555040 is 40555575.

It is a happy number.

575555040 is a `hidden beast` number, since 57 + 55 + 550 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 575554986 and 575555004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198406 + ... + 201285.

It is an arithmetic number, because the mean of its divisors is an integer number (27278979).

Almost surely, 2575555040 is an apocalyptic number.

It is an amenable number.

575555040 is an abundant number, since it is smaller than the sum of its proper divisors (1388531448).

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

575555040 is a wasteful number, since it uses less digits than its factorization.

575555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399712 (or 399701 counting only the distinct ones).

The product of its (nonzero) digits is 87500, while the sum is 36.

The square root of 575555040 is about 23990.7282090394. The cubic root of 575555040 is about 831.8192253943.

The spelling of 575555040 in words is "five hundred seventy-five million, five hundred fifty-five 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 399691 799382 1199073 1598764 1998455 2398146 3197528 3597219 3996910 4796292 5995365 6395056 7194438 7993820 9592584 11990730 12790112 14388876 15987640 17986095 19185168 23981460 28777752 31975280 35972190 38370336 47962920 57555504 63950560 71944380 95925840 115111008 143888760 191851680 287777520 575555040