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5035076200 = 2352711229723
BaseRepresentation
bin1001011000001110…
…10010101001101000
3110222220101101001201
410230013102221220
540302434414300
62151343053544
7235526304310
oct45407225150
913886341051
105035076200
112154195300
12b862a12b4
136231c023b
1435a9d2440
151e708466a
hex12c1d2a68

5035076200 has 144 divisors (see below), whose sum is σ = 14706246240. Its totient is φ = 1569321600.

The previous prime is 5035076183. The next prime is 5035076243. The reversal of 5035076200 is 26705305.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154539 + ... + 184261.

It is an arithmetic number, because the mean of its divisors is an integer number (102126710).

Almost surely, 25035076200 is an apocalyptic number.

5035076200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035076200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353123120).

5035076200 is an abundant number, since it is smaller than the sum of its proper divisors (9671170040).

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

5035076200 is a wasteful number, since it uses less digits than its factorization.

5035076200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29768 (or 29748 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 5035076200 is about 70958.2708357525. The cubic root of 5035076200 is about 1713.9652630516.

The spelling of 5035076200 in words is "five billion, thirty-five million, seventy-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 121 140 154 175 200 220 242 275 280 308 350 385 440 484 550 605 616 700 770 847 968 1100 1210 1400 1540 1694 1925 2200 2420 3025 3080 3388 3850 4235 4840 6050 6776 7700 8470 12100 15400 16940 21175 24200 29723 33880 42350 59446 84700 118892 148615 169400 208061 237784 297230 326953 416122 594460 653906 743075 832244 1040305 1188920 1307812 1486150 1634765 1664488 2080610 2288671 2615624 2972300 3269530 3596483 4161220 4577342 5201525 5944600 6539060 7192966 8173825 8322440 9154684 10403050 11443355 13078120 14385932 16347650 17982415 18309368 20806100 22886710 25175381 28771864 32695300 35964830 41612200 45773420 50350762 57216775 65390600 71929660 89912075 91546840 100701524 114433550 125876905 143859320 179824150 201403048 228867100 251753810 359648300 457734200 503507620 629384525 719296600 1007015240 1258769050 2517538100 5035076200