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425760 = 2535887
BaseRepresentation
bin1100111111100100000
3210122000220
41213330200
5102111020
613043040
73422166
oct1477440
9718026
10425760
11270975
12186480
1311ba3a
14b1236
1586240
hex67f20

425760 has 48 divisors (see below), whose sum is σ = 1342656. Its totient is φ = 113408.

The previous prime is 425713. The next prime is 425779. The reversal of 425760 is 67524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 425760.

It is an unprimeable number.

425760 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 7 ways as a sum of consecutive naturals, for example, 37 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (27972).

2425760 is an apocalyptic number.

425760 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 425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671328).

425760 is an abundant number, since it is smaller than the sum of its proper divisors (916896).

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

425760 is a wasteful number, since it uses less digits than its factorization.

425760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 425760 is about 652.5028735569. The cubic root of 425760 is about 75.2295191187.

The spelling of 425760 in words is "four hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 887 1774 2661 3548 4435 5322 7096 8870 10644 13305 14192 17740 21288 26610 28384 35480 42576 53220 70960 85152 106440 141920 212880 425760