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426048 = 2637317
BaseRepresentation
bin1101000000001000000
3210122102120
41220001000
5102113143
613044240
73423060
oct1500100
9718376
10426048
11271107
12186680
1311bbcc
14b13a0
1586383
hex68040

426048 has 56 divisors (see below), whose sum is σ = 1292352. Its totient is φ = 121344.

The previous prime is 426011. The next prime is 426061. The reversal of 426048 is 840624.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186 + ... + 1502.

2426048 is an apocalyptic number.

426048 is a gapful number since it is divisible by the number (48) 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 426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646176).

426048 is an abundant number, since it is smaller than the sum of its proper divisors (866304).

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

426048 is a wasteful number, since it uses less digits than its factorization.

426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 426048 is about 652.7235249323. The cubic root of 426048 is about 75.2464779829.

It can be divided in two parts, 4260 and 48, that multiplied together give a triangular number (204480 = T639).

The spelling of 426048 in words is "four hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 317 336 448 634 672 951 1268 1344 1902 2219 2536 3804 4438 5072 6657 7608 8876 10144 13314 15216 17752 20288 26628 30432 35504 53256 60864 71008 106512 142016 213024 426048