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4884576 = 253174173
BaseRepresentation
bin10010101000100001100000
3100012011101020
4102220201200
52222301301
6252405440
756342514
oct22504140
910164336
104884576
112836944
121776880
1310203a8
14912144
15667436
hex4a8860

4884576 has 96 divisors (see below), whose sum is σ = 14097888. Its totient is φ = 1474560.

The previous prime is 4884563. The next prime is 4884589. The reversal of 4884576 is 6754884.

It is an interprime number because it is at equal distance from previous prime (4884563) and next prime (4884589).

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a d-powerful number, because it can be written as 47 + 84 + 86 + 411 + 58 + 75 + 63 .

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 15 ways as a sum of consecutive naturals, for example, 66876 + ... + 66948.

It is an arithmetic number, because the mean of its divisors is an integer number (146853).

Almost surely, 24884576 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 4884576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048944).

4884576 is an abundant number, since it is smaller than the sum of its proper divisors (9213312).

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

4884576 is a wasteful number, since it uses less digits than its factorization.

4884576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 4884576 is about 2210.1076896839. The cubic root of 4884576 is about 169.6715225809.

It can be divided in two parts, 4884 and 576, that added together give a triangular number (5460 = T104).

The spelling of 4884576 in words is "four million, eight hundred eighty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 73 82 96 102 123 136 146 164 204 219 246 272 292 328 408 438 492 544 584 656 697 816 876 984 1168 1241 1312 1394 1632 1752 1968 2091 2336 2482 2788 2993 3504 3723 3936 4182 4964 5576 5986 7008 7446 8364 8979 9928 11152 11972 14892 16728 17958 19856 22304 23944 29784 33456 35916 39712 47888 50881 59568 66912 71832 95776 101762 119136 143664 152643 203524 287328 305286 407048 610572 814096 1221144 1628192 2442288 4884576