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5215251400 = 235273523683
BaseRepresentation
bin1001101101101101…
…00110101111001000
3111110110102012222021
410312312212233020
541140101021100
62221300534224
7243144622402
oct46666465710
914413365867
105215251400
112236967627
1210166b1374
13651625a98
143768d3b72
15207cc4a1a
hex136da6bc8

5215251400 has 96 divisors (see below), whose sum is σ = 12333094560. Its totient is φ = 2050583040.

The previous prime is 5215251389. The next prime is 5215251413. The reversal of 5215251400 is 41525125.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7635459 + ... + 7636141.

It is an arithmetic number, because the mean of its divisors is an integer number (128469735).

Almost surely, 25215251400 is an apocalyptic number.

5215251400 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 5215251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166547280).

5215251400 is an abundant number, since it is smaller than the sum of its proper divisors (7117843160).

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

5215251400 is a wasteful number, since it uses less digits than its factorization.

5215251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5215251400 is about 72216.6975151869. The cubic root of 5215251400 is about 1734.1703214459.

Adding to 5215251400 its reverse (41525125), we get a palindrome (5256776525).

The spelling of 5215251400 in words is "five billion, two hundred fifteen million, two hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 523 584 683 730 1046 1366 1460 1825 2092 2615 2732 2920 3415 3650 4184 5230 5464 6830 7300 10460 13075 13660 14600 17075 20920 26150 27320 34150 38179 49859 52300 68300 76358 99718 104600 136600 152716 190895 199436 249295 305432 357209 381790 398872 498590 714418 763580 954475 997180 1246475 1428836 1527160 1786045 1908950 1994360 2492950 2857672 3572090 3817900 4985900 7144180 7635800 8930225 9971800 14288360 17860450 26076257 35720900 52152514 71441800 104305028 130381285 208610056 260762570 521525140 651906425 1043050280 1303812850 2607625700 5215251400