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426385752 = 233137917299
BaseRepresentation
bin11001011010100…
…010000101011000
31002201022122021220
4121122202011120
51333123321002
6110150532040
713365135102
oct3132420530
91081278256
10426385752
111a9757a21
12ba967020
136a44c480
14408b2572
15276767bc
hex196a2158

426385752 has 64 divisors (see below), whose sum is σ = 1162560000. Its totient is φ = 129527424.

The previous prime is 426385733. The next prime is 426385759. The reversal of 426385752 is 257583624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426385759) 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, 15999 + ... + 33297.

It is an arithmetic number, because the mean of its divisors is an integer number (18165000).

Almost surely, 2426385752 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 426385752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581280000).

426385752 is an abundant number, since it is smaller than the sum of its proper divisors (736174248).

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

426385752 is a wasteful number, since it uses less digits than its factorization.

426385752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17400 (or 17396 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 426385752 is about 20649.1101987471. The cubic root of 426385752 is about 752.6635675678.

The spelling of 426385752 in words is "four hundred twenty-six million, three hundred eighty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1896 2054 3081 4108 6162 8216 12324 17299 24648 34598 51897 69196 103794 138392 207588 224887 415176 449774 674661 899548 1349322 1366621 1799096 2698644 2733242 4099863 5397288 5466484 8199726 10932968 16399452 17766073 32798904 35532146 53298219 71064292 106596438 142128584 213192876 426385752