Search a number
-
+
4927416 = 2331317929
BaseRepresentation
bin10010110010111110111000
3100021100010220
4102302332320
52230134131
6253340040
756611434
oct22627670
910240126
104927416
11286604a
121797620
131036a40
149239c4
15674e96
hex4b2fb8

4927416 has 64 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1425408.

The previous prime is 4927409. The next prime is 4927423. The reversal of 4927416 is 6147294.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4927409) and next prime (4927423).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4840 + ... + 5768.

Almost surely, 24927416 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 4927416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

4927416 is an abundant number, since it is smaller than the sum of its proper divisors (9134184).

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

4927416 is a wasteful number, since it uses less digits than its factorization.

4927416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 964 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 4927416 is about 2219.7783673151. The cubic root of 4927416 is about 170.1661121437.

The spelling of 4927416 in words is "four million, nine hundred twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 929 1326 1768 1858 2652 2787 3716 5304 5574 7432 11148 12077 15793 22296 24154 31586 36231 47379 48308 63172 72462 94758 96616 126344 144924 189516 205309 289848 379032 410618 615927 821236 1231854 1642472 2463708 4927416