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4928256 = 28332331
BaseRepresentation
bin10010110011001100000000
3100021101022000
4102303030000
52230201011
6253344000
756614044
oct22631400
910241260
104928256
112866743
121798000
131037238
14924024
15675356
hex4b3300

4928256 has 144 divisors (see below), whose sum is σ = 15697920. Its totient is φ = 1520640.

The previous prime is 4928237. The next prime is 4928267. The reversal of 4928256 is 6528294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4928256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158961 + ... + 158991.

Almost surely, 24928256 is an apocalyptic number.

4928256 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 4928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848960).

4928256 is an abundant number, since it is smaller than the sum of its proper divisors (10769664).

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

4928256 is a wasteful number, since it uses less digits than its factorization.

4928256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4928256 is about 2219.9675673307. The cubic root of 4928256 is about 170.1757812693.

It can be divided in two parts, 4928 and 256, that added together give a square (5184 = 722).

The spelling of 4928256 in words is "four million, nine hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 48 54 62 64 69 72 92 93 96 108 124 128 138 144 184 186 192 207 216 248 256 276 279 288 368 372 384 414 432 496 552 558 576 621 713 736 744 768 828 837 864 992 1104 1116 1152 1242 1426 1472 1488 1656 1674 1728 1984 2139 2208 2232 2304 2484 2852 2944 2976 3312 3348 3456 3968 4278 4416 4464 4968 5704 5888 5952 6417 6624 6696 6912 7936 8556 8832 8928 9936 11408 11904 12834 13248 13392 17112 17664 17856 19251 19872 22816 23808 25668 26496 26784 34224 35712 38502 39744 45632 51336 52992 53568 68448 71424 77004 79488 91264 102672 107136 136896 154008 158976 182528 205344 214272 273792 308016 410688 547584 616032 821376 1232064 1642752 2464128 4928256