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425529072 = 243323113379
BaseRepresentation
bin11001010111010…
…000111011110000
31002122201010011000
4121113100323300
51332413412242
6110120322000
713354636353
oct3127207360
91078633130
10425529072
111a9222321
12ba613300
136a20c567
144072c29a
1527557a4c
hex195d0ef0

425529072 has 160 divisors (see below), whose sum is σ = 1289203200. Its totient is φ = 134120448.

The previous prime is 425529067. The next prime is 425529077. The reversal of 425529072 is 270925524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (425529067) and next prime (425529077).

It is a super-2 number, since 2×4255290722 = 362149982234362368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425529077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122579 + ... + 1122957.

It is an arithmetic number, because the mean of its divisors is an integer number (8057520).

Almost surely, 2425529072 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 425529072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644601600).

425529072 is an abundant number, since it is smaller than the sum of its proper divisors (863674128).

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

425529072 is a wasteful number, since it uses less digits than its factorization.

425529072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 425529072 is about 20628.3560178702. The cubic root of 425529072 is about 752.1591541064.

The spelling of 425529072 in words is "four hundred twenty-five million, five hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 113 138 144 184 207 216 226 276 339 368 379 414 432 452 552 621 678 758 828 904 1017 1104 1137 1242 1356 1516 1656 1808 2034 2274 2484 2599 2712 3032 3051 3312 3411 4068 4548 4968 5198 5424 6064 6102 6822 7797 8136 8717 9096 9936 10233 10396 12204 13644 15594 16272 17434 18192 20466 20792 23391 24408 26151 27288 31188 34868 40932 41584 42827 46782 48816 52302 54576 62376 69736 70173 78453 81864 85654 93564 104604 124752 128481 139472 140346 156906 163728 171308 187128 209208 235359 256962 280692 313812 342616 374256 385443 418416 470718 513924 561384 627624 685232 770886 941436 985021 1027848 1122768 1156329 1255248 1541772 1882872 1970042 2055696 2312658 2955063 3083544 3765744 3940084 4625316 5910126 6167088 7880168 8865189 9250632 11820252 15760336 17730378 18501264 23640504 26595567 35460756 47281008 53191134 70921512 106382268 141843024 212764536 425529072