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426153560 = 23577320849
BaseRepresentation
bin11001011001101…
…001011001011000
31002200212211210012
4121121221121120
51333043403220
6110141541052
713363150130
oct3131513130
91080784705
10426153560
111a9609528
12ba874788
136a39a891
1440851ac0
152762cac5
hex19669658

426153560 has 64 divisors (see below), whose sum is σ = 1110888000. Its totient is φ = 144101376.

The previous prime is 426153523. The next prime is 426153583. The reversal of 426153560 is 65351624.

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, 10016 + ... + 30864.

It is an arithmetic number, because the mean of its divisors is an integer number (17357625).

Almost surely, 2426153560 is an apocalyptic number.

426153560 is a gapful number since it is divisible by the number (40) 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 426153560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555444000).

426153560 is an abundant number, since it is smaller than the sum of its proper divisors (684734440).

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

426153560 is a wasteful number, since it uses less digits than its factorization.

426153560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20940 (or 20936 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 426153560 is about 20643.4871085289. The cubic root of 426153560 is about 752.5269196376.

The spelling of 426153560 in words is "four hundred twenty-six million, one hundred fifty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 4088 5110 10220 20440 20849 41698 83396 104245 145943 166792 208490 291886 416980 583772 729715 833960 1167544 1459430 1521977 2918860 3043954 5837720 6087908 7609885 10653839 12175816 15219770 21307678 30439540 42615356 53269195 60879080 85230712 106538390 213076780 426153560