Search a number
-
+
4741296700 = 2252729323117
BaseRepresentation
bin1000110101001101…
…00111001000111100
3110020102120211100111
410122212213020330
534202232443300
62102250235404
7225331233310
oct43246471074
913212524314
104741296700
11201337a428
12b03a25b64
135a738c90a
1432d99bb40
151cb3a39ba
hex11a9a723c

4741296700 has 72 divisors (see below), whose sum is σ = 11799057312. Its totient is φ = 1619969280.

The previous prime is 4741296653. The next prime is 4741296701. The reversal of 4741296700 is 76921474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4741296701) 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, 193542 + ... + 216658.

It is an arithmetic number, because the mean of its divisors is an integer number (163875796).

Almost surely, 24741296700 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 4741296700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899528656).

4741296700 is an abundant number, since it is smaller than the sum of its proper divisors (7057760612).

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

4741296700 is a wasteful number, since it uses less digits than its factorization.

4741296700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23431 (or 23424 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 4741296700 is about 68857.0744368362. The cubic root of 4741296700 is about 1679.9603991988.

The spelling of 4741296700 in words is "four billion, seven hundred forty-one million, two hundred ninety-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 293 350 586 700 1172 1465 2051 2930 4102 5860 7325 8204 10255 14650 20510 23117 29300 41020 46234 51275 92468 102550 115585 161819 205100 231170 323638 462340 577925 647276 809095 1155850 1618190 2311700 3236380 4045475 6773281 8090950 13546562 16181900 27093124 33866405 47412967 67732810 94825934 135465620 169332025 189651868 237064835 338664050 474129670 677328100 948259340 1185324175 2370648350 4741296700