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4254976 = 28111511
BaseRepresentation
bin10000001110110100000000
322000011201201
4100032310000
52042124401
6231110544
751111115
oct20166400
98004651
104254976
112446910
121512454
13b5c94b
147ca90c
15590b01
hex40ed00

4254976 has 36 divisors (see below), whose sum is σ = 9271584. Its totient is φ = 1932800.

The previous prime is 4254961. The next prime is 4254983. The reversal of 4254976 is 6794524.

4254976 is nontrivially palindromic in base 7.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2061 + ... + 3571.

It is an arithmetic number, because the mean of its divisors is an integer number (257544).

Almost surely, 24254976 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 4254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635792).

4254976 is an abundant number, since it is smaller than the sum of its proper divisors (5016608).

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

4254976 is a wasteful number, since it uses less digits than its factorization.

4254976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1524 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 4254976 is about 2062.7593170314. The cubic root of 4254976 is about 162.0437823034.

It can be divided in two parts, 425497 and 6, that added together give a triangular number (425503 = T922).

The spelling of 4254976 in words is "four million, two hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 1511 2816 3022 6044 12088 16621 24176 33242 48352 66484 96704 132968 193408 265936 386816 531872 1063744 2127488 4254976