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425153920 = 2752922907
BaseRepresentation
bin11001010101110…
…101010110000000
31002122000001112111
4121111311112000
51332314411140
6110104305104
713351514542
oct3125652600
91078001474
10425153920
111a8a96484
12ba472194
136a10a889
1440671692
15274d17ea
hex19575580

425153920 has 64 divisors (see below), whose sum is σ = 1051477200. Its totient is φ = 164190208.

The previous prime is 425153909. The next prime is 425153923. The reversal of 425153920 is 29351524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425153923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7107 + ... + 30013.

Almost surely, 2425153920 is an apocalyptic number.

425153920 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 425153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525738600).

425153920 is an abundant number, since it is smaller than the sum of its proper divisors (626323280).

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

425153920 is a wasteful number, since it uses less digits than its factorization.

425153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22955 (or 22943 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 425153920 is about 20619.2608984900. The cubic root of 425153920 is about 751.9380513327.

The spelling of 425153920 in words is "four hundred twenty-five million, one hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 22907 45814 91628 114535 183256 229070 366512 458140 664303 733024 916280 1328606 1466048 1832560 2657212 2932096 3321515 3665120 5314424 6643030 7330240 10628848 13286060 14660480 21257696 26572120 42515392 53144240 85030784 106288480 212576960 425153920