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425355840 = 26335713541
BaseRepresentation
bin11001010110100…
…110101001000000
31002122101022112000
4121112212221000
51332342341330
6110112504000
713353315330
oct3126465100
91078338460
10425355840
111a9114158
12ba54b000
136a17b760
14406c50c0
1527521560
hex195a6a40

425355840 has 448 divisors, whose sum is σ = 1850257920. Its totient is φ = 89579520.

The previous prime is 425355803. The next prime is 425355911. The reversal of 425355840 is 48553524.

425355840 is a `hidden beast` number, since 42 + 5 + 35 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425355795 and 425355804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785970 + ... + 786510.

It is an arithmetic number, because the mean of its divisors is an integer number (4130040).

Almost surely, 2425355840 is an apocalyptic number.

425355840 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 425355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925128960).

425355840 is an abundant number, since it is smaller than the sum of its proper divisors (1424902080).

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

425355840 is a wasteful number, since it uses less digits than its factorization.

425355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 425355840 is about 20624.1567100330. The cubic root of 425355840 is about 752.0570727772.

The spelling of 425355840 in words is "four hundred twenty-five million, three hundred fifty-five thousand, eight hundred forty".