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4780146 = 237271229
BaseRepresentation
bin10010001111000001110010
322222212010110
4102033001302
52210431041
6250242150
755426200
oct22170162
98885113
104780146
112775438
121726356
13cb49b7
148c6070
15646516
hex48f072

4780146 has 48 divisors (see below), whose sum is σ = 11327040. Its totient is φ = 1340640.

The previous prime is 4780133. The next prime is 4780151. The reversal of 4780146 is 6410874.

It is a Curzon number.

It is a congruent number.

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, 20760 + ... + 20988.

It is an arithmetic number, because the mean of its divisors is an integer number (235980).

Almost surely, 24780146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4780146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663520).

4780146 is an abundant number, since it is smaller than the sum of its proper divisors (6546894).

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

4780146 is a wasteful number, since it uses less digits than its factorization.

4780146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4780146 is about 2186.3545000754. The cubic root of 4780146 is about 168.4536350991.

The spelling of 4780146 in words is "four million, seven hundred eighty thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 229 294 426 458 497 687 994 1374 1491 1603 2982 3206 3479 4809 6958 9618 10437 11221 16259 20874 22442 32518 33663 48777 67326 97554 113813 227626 341439 682878 796691 1593382 2390073 4780146