Search a number
-
+
4752787000 = 235313228123
BaseRepresentation
bin1000110110100100…
…11100011000111000
3110021020012121002011
410123102130120320
534213203141000
62103340415304
7225531010603
oct43322343070
913236177064
104752787000
112019908245
12b07847534
135a9883900
1433130d33a
151cc3c32ba
hex11b49c638

4752787000 has 96 divisors (see below), whose sum is σ = 12043259280. Its totient is φ = 1754812800.

The previous prime is 4752786971. The next prime is 4752787009. The reversal of 4752787000 is 7872574.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4752787009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154939 + ... + 183061.

Almost surely, 24752787000 is an apocalyptic number.

4752787000 is a gapful number since it is divisible by the number (40) 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 4752787000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021629640).

4752787000 is an abundant number, since it is smaller than the sum of its proper divisors (7290472280).

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

4752787000 is a wasteful number, since it uses less digits than its factorization.

4752787000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28170 (or 28143 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 4752787000 is about 68940.4598186000. The cubic root of 4752787000 is about 1681.3164049263.

The spelling of 4752787000 in words is "four billion, seven hundred fifty-two million, seven hundred eighty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2600 3250 3380 4225 6500 6760 8450 13000 16900 21125 28123 33800 42250 56246 84500 112492 140615 169000 224984 281230 365599 562460 703075 731198 1124920 1406150 1462396 1827995 2812300 2924792 3515375 3655990 4752787 5624600 7030750 7311980 9139975 9505574 14061500 14623960 18279950 19011148 23763935 28123000 36559900 38022296 45699875 47527870 73119800 91399750 95055740 118819675 182799500 190111480 237639350 365599000 475278700 594098375 950557400 1188196750 2376393500 4752787000