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425088 = 273441
BaseRepresentation
bin1100111110010000000
3210121010000
41213302000
5102100323
613040000
73420216
oct1476200
9717100
10425088
11270414
12186000
1311b641
14b0cb6
1585e43
hex67c80

425088 has 80 divisors (see below), whose sum is σ = 1295910. Its totient is φ = 138240.

The previous prime is 425083. The next prime is 425101. The reversal of 425088 is 880524.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 5184 = 648^2 + 72^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 425088.

It is not an unprimeable number, because it can be changed into a prime (425083) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10348 + ... + 10388.

2425088 is an apocalyptic number.

425088 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 425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647955).

425088 is an abundant number, since it is smaller than the sum of its proper divisors (870822).

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

425088 is an equidigital number, since it uses as much as digits as its factorization.

425088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 425088 is about 651.9877299459. The cubic root of 425088 is about 75.1899186727.

The spelling of 425088 in words is "four hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 369 384 432 492 576 648 656 738 864 984 1107 1152 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3456 3936 4428 5184 5248 5904 6642 7872 8856 10368 11808 13284 15744 17712 23616 26568 35424 47232 53136 70848 106272 141696 212544 425088