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425633136 = 243194111383
BaseRepresentation
bin11001010111101…
…010010101110000
31002122220101220020
4121113222111300
51332430230021
6110122443440
713355551635
oct3127522560
91078811806
10425633136
111a9293525
12ba663580
136a247a36
144075818c
15275787c6
hex195ea570

425633136 has 80 divisors (see below), whose sum is σ = 1185757440. Its totient is φ = 131120640.

The previous prime is 425633099. The next prime is 425633137. The reversal of 425633136 is 631336524.

It is a super-2 number, since 2×4256331362 = 362327132922388992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 425633097 and 425633106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425633137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31701 + ... + 43083.

It is an arithmetic number, because the mean of its divisors is an integer number (14821968).

Almost surely, 2425633136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425633136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592878720).

425633136 is an abundant number, since it is smaller than the sum of its proper divisors (760124304).

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

425633136 is a wasteful number, since it uses less digits than its factorization.

425633136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11448 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 425633136 is about 20630.8782168865. The cubic root of 425633136 is about 752.2204631259.

The spelling of 425633136 in words is "four hundred twenty-five million, six hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1558 1968 2337 3116 4674 6232 9348 11383 12464 18696 22766 34149 37392 45532 68298 91064 136596 182128 216277 273192 432554 466703 546384 648831 865108 933406 1297662 1400109 1730216 1866812 2595324 2800218 3460432 3733624 5190648 5600436 7467248 8867357 10381296 11200872 17734714 22401744 26602071 35469428 53204142 70938856 106408284 141877712 212816568 425633136