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4873424 = 2417192341
BaseRepresentation
bin10010100101110011010000
3100011121002012
4102211303100
52221422144
6252242052
756265143
oct22456320
910147065
104873424
112829526
121770328
1310182aa
1490c05a
15663e9e
hex4a5cd0

4873424 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 2027520.

The previous prime is 4873411. The next prime is 4873433. The reversal of 4873424 is 4243784.

It is a super-2 number, since 2×48734242 = 47500522967552, which contains 22 as substring.

It is a d-powerful number, because it can be written as 46 + 85 + 73 + 314 + 46 + 215 + 47 .

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, 118844 + ... + 118884.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 24873424 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 4873424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4873424 is an abundant number, since it is smaller than the sum of its proper divisors (6375856).

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

4873424 is a wasteful number, since it uses less digits than its factorization.

4873424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its digits is 21504, while the sum is 32.

The square root of 4873424 is about 2207.5832940118. The cubic root of 4873424 is about 169.5422982182.

The spelling of 4873424 in words is "four million, eight hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 23 34 38 41 46 68 76 82 92 136 152 164 184 272 304 323 328 368 391 437 646 656 697 779 782 874 943 1292 1394 1558 1564 1748 1886 2584 2788 3116 3128 3496 3772 5168 5576 6232 6256 6992 7429 7544 11152 12464 13243 14858 15088 16031 17917 26486 29716 32062 35834 52972 59432 64124 71668 105944 118864 128248 143336 211888 256496 286672 304589 609178 1218356 2436712 4873424