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4563002500 = 2254721932
BaseRepresentation
bin1000011111111100…
…11110010010000100
3102210000002112200121
410033332132102010
533321112040000
62032440551324
7221034611200
oct41776362204
912700075617
104563002500
111a31772351
12a74182544
135794652a4
14314029b00
151ba8d5b1a
hex10ff9e484

4563002500 has 135 divisors (see below), whose sum is σ = 11667950217. Its totient is φ = 1556352000.

The previous prime is 4563002471. The next prime is 4563002503. The reversal of 4563002500 is 52003654.

The square root of 4563002500 is 67550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4324114564 + 238887936 = 65758^2 + 15456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4563002503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23642404 + ... + 23642596.

Almost surely, 24563002500 is an apocalyptic number.

4563002500 is the 67550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4563002500

4563002500 is an abundant number, since it is smaller than the sum of its proper divisors (7104947717).

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

4563002500 is an equidigital number, since it uses as much as digits as its factorization.

4563002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The cubic root of 4563002500 is about 1658.6327470170.

Multiplying 4563002500 by its sum of digits (25), we get a square (114075062500 = 3377502).

4563002500 divided by its sum of digits (25) gives a square (182520100 = 135102).

Multiplying 4563002500 by its product of nonzero digits (3600), we get a square (16426809000000 = 40530002).

The spelling of 4563002500 in words is "four billion, five hundred sixty-three million, two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 193 196 245 250 350 386 490 500 625 700 772 875 965 980 1225 1250 1351 1750 1930 2450 2500 2702 3500 3860 4375 4825 4900 5404 6125 6755 8750 9457 9650 12250 13510 17500 18914 19300 24125 24500 27020 30625 33775 37249 37828 47285 48250 61250 67550 74498 94570 96500 120625 122500 135100 148996 168875 186245 189140 236425 241250 260743 337750 372490 472850 482500 521486 675500 744980 844375 931225 945700 1042972 1182125 1303715 1688750 1825201 1862450 2364250 2607430 3377500 3650402 3724900 4656125 4728500 5214860 5910625 6518575 7300804 9126005 9312250 11821250 13037150 18252010 18624500 23280625 23642500 26074300 32592875 36504020 45630025 46561250 65185750 91260050 93122500 130371500 162964375 182520100 228150125 325928750 456300250 651857500 912600500 1140750625 2281501250 4563002500