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4725893900 = 22527131912719
BaseRepresentation
bin1000110011010111…
…10110101100001100
3110012100121021200102
410121223312230030
534134312101100
62100540150232
7225053302220
oct43153665414
913170537612
104725893900
11200570a042
12aba838378
135a4128b30
1432b90c780
151c9d5ecd5
hex119af6b0c

4725893900 has 144 divisors (see below), whose sum is σ = 12692520960. Its totient is φ = 1487289600.

The previous prime is 4725893897. The next prime is 4725893917. The reversal of 4725893900 is 93985274.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1736741 + ... + 1739459.

Almost surely, 24725893900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4725893900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346260480).

4725893900 is an abundant number, since it is smaller than the sum of its proper divisors (7966627060).

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

4725893900 is a wasteful number, since it uses less digits than its factorization.

4725893900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 4725893900 is about 68745.1372825744. The cubic root of 4725893900 is about 1678.1392261370.

The spelling of 4725893900 in words is "four billion, seven hundred twenty-five million, eight hundred ninety-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 191 260 325 350 364 382 455 650 700 764 910 955 1300 1337 1820 1910 2275 2483 2674 2719 3820 4550 4775 4966 5348 5438 6685 9100 9550 9932 10876 12415 13370 13595 17381 19033 19100 24830 26740 27190 33425 34762 35347 38066 49660 54380 62075 66850 67975 69524 70694 76132 86905 95165 124150 133700 135950 141388 173810 176735 190330 247429 248300 271900 347620 353470 380660 434525 475825 494858 519329 706940 869050 883675 951650 989716 1038658 1237145 1738100 1767350 1903300 2077316 2474290 2596645 3534700 3635303 4948580 5193290 6185725 6751277 7270606 10386580 12371450 12983225 13502554 14541212 18176515 24742900 25966450 27005108 33756385 36353030 47258939 51932900 67512770 72706060 90882575 94517878 135025540 168781925 181765150 189035756 236294695 337563850 363530300 472589390 675127700 945178780 1181473475 2362946950 4725893900