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425533248 = 26327215077
BaseRepresentation
bin11001010111010…
…001111101000000
31002122201022212200
4121113101331000
51332414030443
6110120353200
713354654500
oct3127217500
91078638780
10425533248
111a9225478
12ba615800
136a21142a
144072da00
1527558dd3
hex195d1f40

425533248 has 126 divisors (see below), whose sum is σ = 1418945346. Its totient is φ = 121572864.

The previous prime is 425533223. The next prime is 425533267. The reversal of 425533248 is 842335524.

It can be written as a sum of positive squares in only one way, i.e., 249387264 + 176145984 = 15792^2 + 13272^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20686 + ... + 35762.

It is an arithmetic number, because the mean of its divisors is an integer number (11261471).

Almost surely, 2425533248 is an apocalyptic number.

425533248 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 425533248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709472673).

425533248 is an abundant number, since it is smaller than the sum of its proper divisors (993412098).

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

425533248 is a wasteful number, since it uses less digits than its factorization.

425533248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15109 (or 15089 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 425533248 is about 20628.4572375154. The cubic root of 425533248 is about 752.1616145779.

The spelling of 425533248 in words is "four hundred twenty-five million, five hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 15077 28224 30154 45231 60308 90462 105539 120616 135693 180924 211078 241232 271386 316617 361848 422156 482464 542772 633234 723696 738773 844312 949851 964928 1085544 1266468 1447392 1477546 1688624 1899702 2171088 2216319 2532936 2894784 2955092 3377248 3799404 4342176 4432638 5065872 5910184 6648957 6754496 7598808 8684352 8865276 10131744 11820368 13297914 15197616 17730552 20263488 23640736 26595828 30395232 35461104 47281472 53191656 60790464 70922208 106383312 141844416 212766624 425533248