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425126016 = 2733717573
BaseRepresentation
bin11001010101101…
…110100010000000
31002121221122021000
4121111232202000
51332313013031
6110103532000
713351340310
oct3125564200
91077848230
10425126016
111a8a77517
12ba45a000
136a0cac73
1440665440
15274c83e6
hex1956e880

425126016 has 128 divisors (see below), whose sum is σ = 1434038400. Its totient is φ = 121457664.

The previous prime is 425125999. The next prime is 425126017. The reversal of 425126016 is 610621524.

425126016 is a `hidden beast` number, since 4 + 2 + 51 + 2 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (425126017) 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, 15406 + ... + 32978.

It is an arithmetic number, because the mean of its divisors is an integer number (11203425).

Almost surely, 2425126016 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 425126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717019200).

425126016 is an abundant number, since it is smaller than the sum of its proper divisors (1008912384).

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

425126016 is a wasteful number, since it uses less digits than its factorization.

425126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17603 (or 17585 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 425126016 is about 20618.5842384971. The cubic root of 425126016 is about 751.9216003977.

The spelling of 425126016 in words is "four hundred twenty-five million, one hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 17573 24192 35146 52719 70292 105438 123011 140584 158157 210876 246022 281168 316314 369033 421752 474471 492044 562336 632628 738066 843504 948942 984088 1107099 1124672 1265256 1476132 1687008 1897884 1968176 2214198 2249344 2530512 2952264 3321297 3374016 3795768 3936352 4428396 5061024 5904528 6642594 6748032 7591536 7872704 8856792 10122048 11809056 13285188 15183072 15745408 17713584 20244096 23618112 26570376 30366144 35427168 47236224 53140752 60732288 70854336 106281504 141708672 212563008 425126016