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2545238304 = 253271262519
BaseRepresentation
bin1001011110110101…
…0100000100100000
320120101022111120100
42113231110010200
520203040111204
61100321142400
7120034111560
oct22755240440
96511274510
102545238304
1110967a2234
125b048aa00
1331740b38b
141a2068da0
15ed6b4a39
hex97b54120

2545238304 has 72 divisors (see below), whose sum is σ = 8272031040. Its totient is φ = 727210368.

The previous prime is 2545238299. The next prime is 2545238321. The reversal of 2545238304 is 4038325452.

2545238304 is a `hidden beast` number, since 2 + 54 + 523 + 83 + 0 + 4 = 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 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, 629244 + ... + 633275.

It is an arithmetic number, because the mean of its divisors is an integer number (114889320).

Almost surely, 22545238304 is an apocalyptic number.

2545238304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2545238304 is an abundant number, since it is smaller than the sum of its proper divisors (5726792736).

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

2545238304 is a wasteful number, since it uses less digits than its factorization.

2545238304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262542 (or 1262531 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2545238304 is about 50450.3548451346. The cubic root of 2545238304 is about 1365.3462970350.

The spelling of 2545238304 in words is "two billion, five hundred forty-five million, two hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1262519 2525038 3787557 5050076 7575114 8837633 10100152 11362671 15150228 17675266 20200304 22725342 26512899 30300456 35350532 40400608 45450684 53025798 60600912 70701064 79538697 90901368 106051596 121201824 141402128 159077394 181802736 212103192 282804256 318154788 363605472 424206384 636309576 848412768 1272619152 2545238304