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426019800 = 233522330871
BaseRepresentation
bin11001011001001…
…000101111011000
31002200122001022010
4121121020233120
51333030113200
6110135025520
713362052143
oct3131105730
91080561263
10426019800
111a9527a88
12ba80b2a0
136a351a2b
144081905a
1527603150
hex19648bd8

426019800 has 96 divisors (see below), whose sum is σ = 1378126080. Its totient is φ = 108662400.

The previous prime is 426019799. The next prime is 426019801. The reversal of 426019800 is 8910624.

It is an interprime number because it is at equal distance from previous prime (426019799) and next prime (426019801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426019801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636 + ... + 29235.

It is an arithmetic number, because the mean of its divisors is an integer number (14355480).

Almost surely, 2426019800 is an apocalyptic number.

426019800 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 426019800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689063040).

426019800 is an abundant number, since it is smaller than the sum of its proper divisors (952106280).

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

426019800 is a wasteful number, since it uses less digits than its factorization.

426019800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30913 (or 30904 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 426019800 is about 20640.2470915442. The cubic root of 426019800 is about 752.4481776507.

The spelling of 426019800 in words is "four hundred twenty-six million, nineteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 30871 61742 92613 123484 154355 185226 246968 308710 370452 463065 617420 710033 740904 771775 926130 1234840 1420066 1543550 1852260 2130099 2315325 2840132 3087100 3550165 3704520 4260198 4630650 5680264 6174200 7100330 8520396 9261300 10650495 14200660 17040792 17750825 18522600 21300990 28401320 35501650 42601980 53252475 71003300 85203960 106504950 142006600 213009900 426019800