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4652256 = 253722343
BaseRepresentation
bin10001101111110011100000
322202100200210
4101233303200
52142333011
6243414120
754354300
oct21576340
98670623
104652256
112698344
121684340
13c6b71b
14891600
1561d6a6
hex46fce0

4652256 has 144 divisors (see below), whose sum is σ = 15168384. Its totient is φ = 1241856.

The previous prime is 4652251. The next prime is 4652273. The reversal of 4652256 is 6522564.

4652256 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

4652256 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4652251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108171 + ... + 108213.

It is an arithmetic number, because the mean of its divisors is an integer number (105336).

Almost surely, 24652256 is an apocalyptic number.

4652256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4652256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584192).

4652256 is an abundant number, since it is smaller than the sum of its proper divisors (10516128).

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

4652256 is a wasteful number, since it uses less digits than its factorization.

4652256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 4652256 is about 2156.9088993279. The cubic root of 4652256 is about 166.9377419811.

The spelling of 4652256 in words is "four million, six hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 43 46 48 49 56 69 84 86 92 96 98 112 129 138 147 161 168 172 184 196 224 258 276 294 301 322 336 344 368 392 483 516 552 588 602 644 672 688 736 784 903 966 989 1032 1104 1127 1176 1204 1288 1376 1568 1806 1932 1978 2064 2107 2208 2254 2352 2408 2576 2967 3381 3612 3864 3956 4128 4214 4508 4704 4816 5152 5934 6321 6762 6923 7224 7728 7912 8428 9016 9632 11868 12642 13524 13846 14448 15456 15824 16856 18032 20769 23736 25284 27048 27692 28896 31648 33712 36064 41538 47472 48461 50568 54096 55384 67424 83076 94944 96922 101136 108192 110768 145383 166152 193844 202272 221536 290766 332304 387688 581532 664608 775376 1163064 1550752 2326128 4652256