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425105136 = 243223373469
BaseRepresentation
bin11001010101101…
…001011011110000
31002121220120121200
4121111221123300
51332311331021
6110103251200
713351222401
oct3125513360
91077816550
10425105136
111a8a62865
12ba449b00
136a0c1601
144065b9a8
15274c2126
hex195696f0

425105136 has 120 divisors (see below), whose sum is σ = 1275349920. Its totient is φ = 131839488.

The previous prime is 425105039. The next prime is 425105137. The reversal of 425105136 is 631501524.

425105136 is a `hidden beast` number, since 425 + 105 + 136 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425105137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120810 + ... + 124278.

It is an arithmetic number, because the mean of its divisors is an integer number (10627916).

Almost surely, 2425105136 is an apocalyptic number.

425105136 is a gapful number since it is divisible by the number (46) 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 425105136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637674960).

425105136 is an abundant number, since it is smaller than the sum of its proper divisors (850244784).

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

425105136 is a wasteful number, since it uses less digits than its factorization.

425105136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 425105136 is about 20618.0778929560. The cubic root of 425105136 is about 751.9092900243.

The spelling of 425105136 in words is "four hundred twenty-five million, one hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 37 46 48 69 72 74 92 111 138 144 148 184 207 222 276 296 333 368 414 444 552 592 666 828 851 888 1104 1332 1656 1702 1776 2553 2664 3312 3404 3469 5106 5328 6808 6938 7659 10212 10407 13616 13876 15318 20424 20814 27752 30636 31221 40848 41628 55504 61272 62442 79787 83256 122544 124884 128353 159574 166512 239361 249768 256706 319148 385059 478722 499536 513412 638296 718083 770118 957444 1026824 1155177 1276592 1436166 1540236 1914888 2053648 2310354 2872332 2952119 3080472 3829776 4620708 5744664 5904238 6160944 8856357 9241416 11489328 11808476 17712714 18482832 23616952 26569071 35425428 47233904 53138142 70850856 106276284 141701712 212552568 425105136