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425736 = 233673
BaseRepresentation
bin1100111111100001000
3210122000000
41213330020
5102110421
613043000
73422133
oct1477410
9718000
10425736
11270953
12186460
1311ba1c
14b121a
1586226
hex67f08

425736 has 56 divisors (see below), whose sum is σ = 1213230. Its totient is φ = 139968.

The previous prime is 425713. The next prime is 425779. The reversal of 425736 is 637524.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 72900 = 594^2 + 270^2 .

It is a super-2 number, since 2×4257362 = 362502283392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

425736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5796 + ... + 5868.

2425736 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 425736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606615).

425736 is an abundant number, since it is smaller than the sum of its proper divisors (787494).

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

425736 is an equidigital number, since it uses as much as digits as its factorization.

425736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 425736 is about 652.4844825741. The cubic root of 425736 is about 75.2281055349.

It can be divided in two parts, 42 and 5736, that added together give a triangular number (5778 = T107).

The spelling of 425736 in words is "four hundred twenty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 243 292 324 438 486 584 648 657 729 876 972 1314 1458 1752 1944 1971 2628 2916 3942 5256 5832 5913 7884 11826 15768 17739 23652 35478 47304 53217 70956 106434 141912 212868 425736