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426492 = 223311359
BaseRepresentation
bin1101000000111111100
3210200001000
41220013330
5102121432
613050300
73424263
oct1500774
9720030
10426492
11271480
12186990
1311c181
14b15da
158657c
hex681fc

426492 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 128880.

The previous prime is 426487. The next prime is 426527. The reversal of 426492 is 294624.

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

It is a nude number because it is divisible by every one of its digits.

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, 1009 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2426492 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 426492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

426492 is an abundant number, since it is smaller than the sum of its proper divisors (783108).

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

426492 is a wasteful number, since it uses less digits than its factorization.

426492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 426492 is about 653.0635497408. The cubic root of 426492 is about 75.2726079317.

It can be divided in two parts, 4264 and 92, that added together give a square (4356 = 662).

The spelling of 426492 in words is "four hundred twenty-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 359 396 594 718 1077 1188 1436 2154 3231 3949 4308 6462 7898 9693 11847 12924 15796 19386 23694 35541 38772 47388 71082 106623 142164 213246 426492