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426101624 = 231347179487
BaseRepresentation
bin11001011001011…
…100101101111000
31002200210012112122
4121121130231320
51333040222444
6110140500412
713362542534
oct3131345570
91080705478
10426101624
111a9583503
12ba84a708
136a380050
144083abc4
152761c4ee
hex1965cb78

426101624 has 64 divisors (see below), whose sum is σ = 885427200. Its totient is φ = 191009664.

The previous prime is 426101587. The next prime is 426101639.

426101624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 426101593 and 426101602.

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, 874709 + ... + 875195.

It is an arithmetic number, because the mean of its divisors is an integer number (13834800).

Almost surely, 2426101624 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 426101624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442713600).

426101624 is an abundant number, since it is smaller than the sum of its proper divisors (459325576).

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

426101624 is a wasteful number, since it uses less digits than its factorization.

426101624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 426101624 is about 20642.2291431909. The cubic root of 426101624 is about 752.4963478519.

The spelling of 426101624 in words is "four hundred twenty-six million, one hundred one thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 26 47 52 94 104 179 188 358 376 487 611 716 974 1222 1432 1948 2327 2444 3896 4654 4888 6331 8413 9308 12662 16826 18616 22889 25324 33652 45778 50648 67304 87173 91556 109369 174346 183112 218738 297557 348692 437476 595114 697384 874952 1133249 1190228 2266498 2380456 4097131 4532996 8194262 9065992 16388524 32777048 53262703 106525406 213050812 426101624