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426344928 = 25323353547
BaseRepresentation
bin11001011010011…
…000000111100000
31002201020120021220
4121122120013200
51333121014203
6110150015040
713364605062
oct3132300740
91081216256
10426344928
111a972a289
12ba947480
136a436a09
14408a1732
1527669653
hex196981e0

426344928 has 96 divisors (see below), whose sum is σ = 1173263616. Its totient is φ = 135303168.

The previous prime is 426344917. The next prime is 426344929. The reversal of 426344928 is 829443624.

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

It is a self number, because there is not a number n which added to its sum of digits gives 426344928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426344929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779151 + ... + 779697.

It is an arithmetic number, because the mean of its divisors is an integer number (12221496).

Almost surely, 2426344928 is an apocalyptic number.

426344928 is a gapful number since it is divisible by the number (48) 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 426344928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586631808).

426344928 is an abundant number, since it is smaller than the sum of its proper divisors (746918688).

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

426344928 is a wasteful number, since it uses less digits than its factorization.

426344928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 426344928 is about 20648.1216579136. The cubic root of 426344928 is about 752.6395457221.

The spelling of 426344928 in words is "four hundred twenty-six million, three hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 353 368 547 552 706 736 1059 1094 1104 1412 1641 2118 2188 2208 2824 3282 4236 4376 5648 6564 8119 8472 8752 11296 12581 13128 16238 16944 17504 24357 25162 26256 32476 33888 37743 48714 50324 52512 64952 75486 97428 100648 129904 150972 193091 194856 201296 259808 301944 386182 389712 402592 579273 603888 772364 779424 1158546 1207776 1544728 2317092 3089456 4441093 4634184 6178912 8882186 9268368 13323279 17764372 18536736 26646558 35528744 53293116 71057488 106586232 142114976 213172464 426344928