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4874368 = 27113337
BaseRepresentation
bin10010100110000010000000
3100011122101011
4102212002000
52221434433
6252250304
756300662
oct22460200
910148334
104874368
11282a204
121770994
131018855
1490c532
156643cd
hex4a6080

4874368 has 32 divisors (see below), whose sum is σ = 9825660. Its totient is φ = 2408448.

The previous prime is 4874339. The next prime is 4874377. The reversal of 4874368 is 8634784.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 906304 = 1992^2 + 952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 44 + 83 + 75 + 48 + 314 + 65 + 83 .

It is a self number, because there is not a number n which added to its sum of digits gives 4874368.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14296 + ... + 14632.

Almost surely, 24874368 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 4874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912830).

4874368 is an abundant number, since it is smaller than the sum of its proper divisors (4951292).

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

4874368 is a wasteful number, since it uses less digits than its factorization.

4874368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 4874368 is about 2207.7970921260. The cubic root of 4874368 is about 169.5532444986.

The spelling of 4874368 in words is "four million, eight hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 337 452 674 904 1348 1808 2696 3616 5392 7232 10784 14464 21568 38081 43136 76162 152324 304648 609296 1218592 2437184 4874368