Search a number
-
+
4712002900 = 22521141104479
BaseRepresentation
bin1000110001101101…
…10111010101010100
3110011101110112210221
410120312313111110
534122233043100
62055322324124
7224524235533
oct43066672524
913141415727
104712002900
111aa8891580
12ab6059644
135a12a41c7
14329b3431a
151c8a1901a
hex118db7554

4712002900 has 72 divisors (see below), whose sum is σ = 11426768640. Its totient is φ = 1671648000.

The previous prime is 4712002879. The next prime is 4712002901. The reversal of 4712002900 is 92002174.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4712002901) 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, 7140 + ... + 97339.

It is an arithmetic number, because the mean of its divisors is an integer number (158705120).

Almost surely, 24712002900 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 4712002900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713384320).

4712002900 is an abundant number, since it is smaller than the sum of its proper divisors (6714765740).

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

4712002900 is a wasteful number, since it uses less digits than its factorization.

4712002900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104545 (or 104538 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4712002900 is about 68644.0303303936. The cubic root of 4712002900 is about 1676.4934063533.

The spelling of 4712002900 in words is "four billion, seven hundred twelve million, two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 104479 208958 417916 522395 1044790 1149269 2089580 2298538 2611975 4283639 4597076 5223950 5746345 8567278 10447900 11492690 17134556 21418195 22985380 28731725 42836390 47120029 57463450 85672780 94240058 107090975 114926900 188480116 214181950 235600145 428363900 471200290 942400580 1178000725 2356001450 4712002900