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4768050 = 2352719239
BaseRepresentation
bin10010001100000100110010
322222020112110
4102030010302
52210034200
6250110150
755346010
oct22140462
98866473
104768050
112767341
12171b356
13cac341
148c18b0
15642b50
hex48c132

4768050 has 96 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1028160.

The previous prime is 4768033. The next prime is 4768051. The reversal of 4768050 is 508674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4767999 and 4768017.

It is not an unprimeable number, because it can be changed into a prime (4768051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19831 + ... + 20069.

It is an arithmetic number, because the mean of its divisors is an integer number (148800).

Almost surely, 24768050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4768050 is an abundant number, since it is smaller than the sum of its proper divisors (9516750).

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

4768050 is a wasteful number, since it uses less digits than its factorization.

4768050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4768050 is about 2183.5864993171. The cubic root of 4768050 is about 168.3114263118.

The spelling of 4768050 in words is "four million, seven hundred sixty-eight thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 133 150 175 190 210 239 266 285 350 399 475 478 525 570 665 717 798 950 1050 1195 1330 1425 1434 1673 1995 2390 2850 3325 3346 3585 3990 4541 5019 5975 6650 7170 8365 9082 9975 10038 11950 13623 16730 17925 19950 22705 25095 27246 31787 35850 41825 45410 50190 63574 68115 83650 95361 113525 125475 136230 158935 190722 227050 250950 317870 340575 476805 681150 794675 953610 1589350 2384025 4768050