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425825760 = 25351078291
BaseRepresentation
bin11001011000011…
…001010111100000
31002200021012010110
4121120121113200
51333002411020
6110130531320
713360313343
oct3130312740
91080235113
10425825760
111a9405218
12ba736b40
136a2b4609
14407a845a
15275b58e0
hex196195e0

425825760 has 96 divisors (see below), whose sum is σ = 1354050432. Its totient is φ = 112478720.

The previous prime is 425825753. The next prime is 425825761. The reversal of 425825760 is 67528524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425825761) 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 15 ways as a sum of consecutive naturals, for example, 47215 + ... + 55505.

It is an arithmetic number, because the mean of its divisors is an integer number (14104692).

Almost surely, 2425825760 is an apocalyptic number.

425825760 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 425825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677025216).

425825760 is an abundant number, since it is smaller than the sum of its proper divisors (928224672).

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

425825760 is a wasteful number, since it uses less digits than its factorization.

425825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416 (or 8408 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 425825760 is about 20635.5460310601. The cubic root of 425825760 is about 752.3339206631. Note that the first 3 decimals are identical.

The spelling of 425825760 in words is "four hundred twenty-five million, eight hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8291 8560 10272 12840 16582 17120 24873 25680 33164 41455 49746 51360 66328 82910 99492 124365 132656 165820 198984 248730 265312 331640 397968 497460 663280 795936 887137 994920 1326560 1774274 1989840 2661411 3548548 3979680 4435685 5322822 7097096 8871370 10645644 13307055 14194192 17742740 21291288 26614110 28388384 35485480 42582576 53228220 70970960 85165152 106456440 141941920 212912880 425825760