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4896864 = 253272347
BaseRepresentation
bin10010101011100001100000
3100012210020100
4102223201200
52223144424
6252542400
756423400
oct22534140
910183210
104896864
1128450a5
121781a00
131025b6b
14916800
1566adc9
hex4ab860

4896864 has 108 divisors (see below), whose sum is σ = 16245684. Its totient is φ = 1395072.

The previous prime is 4896863. The next prime is 4896887. The reversal of 4896864 is 4686984.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4896863) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13939 + ... + 14285.

It is an arithmetic number, because the mean of its divisors is an integer number (150423).

Almost surely, 24896864 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 4896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122842).

4896864 is an abundant number, since it is smaller than the sum of its proper divisors (11348820).

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

4896864 is a wasteful number, since it uses less digits than its factorization.

4896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4896864 is about 2212.8858985497. The cubic root of 4896864 is about 169.8136828407.

The spelling of 4896864 in words is "four million, eight hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 347 392 441 504 588 672 694 784 882 1008 1041 1176 1388 1568 1764 2016 2082 2352 2429 2776 3123 3528 4164 4704 4858 5552 6246 7056 7287 8328 9716 11104 12492 14112 14574 16656 17003 19432 21861 24984 29148 33312 34006 38864 43722 49968 51009 58296 68012 77728 87444 99936 102018 116592 136024 153027 174888 204036 233184 272048 306054 349776 408072 544096 612108 699552 816144 1224216 1632288 2448432 4896864