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5032004760 = 2332517822223
BaseRepresentation
bin1001010111110111…
…00100110010011000
3110222200121022211200
410223323210302120
540301143123020
62151153154200
7235461222546
oct45373446230
913880538750
105032004760
112152487722
12b8525b960
13622686213
1435a432d96
151e6b79590
hex12bee4c98

5032004760 has 96 divisors (see below), whose sum is σ = 17316037440. Its totient is φ = 1262932992.

The previous prime is 5032004759. The next prime is 5032004767. The reversal of 5032004760 is 674002305.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032004767) 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 23 ways as a sum of consecutive naturals, for example, 404992 + ... + 417231.

It is an arithmetic number, because the mean of its divisors is an integer number (180375390).

Almost surely, 25032004760 is an apocalyptic number.

It is an amenable number.

5032004760 is an abundant number, since it is smaller than the sum of its proper divisors (12284032680).

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

5032004760 is a wasteful number, since it uses less digits than its factorization.

5032004760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822257 (or 822250 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5032004760 is about 70936.6249549554. The cubic root of 5032004760 is about 1713.6166809545.

The spelling of 5032004760 in words is "five billion, thirty-two million, four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 822223 1644446 2466669 3288892 4111115 4933338 6577784 7400007 8222230 9866676 12333345 13977791 14800014 16444460 19733352 24666690 27955582 29600028 32888920 37000035 41933373 49333380 55911164 59200056 69888955 74000070 83866746 98666760 111822328 125800119 139777910 148000140 167733492 209666865 251600238 279555820 296000280 335466984 419333730 503200476 559111640 629000595 838667460 1006400952 1258001190 1677334920 2516002380 5032004760