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425332080 = 24335672939
BaseRepresentation
bin11001010110100…
…000110101110000
31002122100002221000
4121112200311300
51332341111310
6110112202000
713353156135
oct3126406560
91078302830
10425332080
111a90a8318
12ba539300
136a1709b4
14406ba58c
15275194c0
hex195a0d70

425332080 has 160 divisors (see below), whose sum is σ = 1487404800. Its totient is φ = 111691008.

The previous prime is 425332079. The next prime is 425332087. The reversal of 425332080 is 80233524.

425332080 is a `hidden beast` number, since 425 + 33 + 208 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425332087) 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 31 ways as a sum of consecutive naturals, for example, 143251 + ... + 146189.

It is an arithmetic number, because the mean of its divisors is an integer number (9296280).

Almost surely, 2425332080 is an apocalyptic number.

425332080 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 425332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743702400).

425332080 is an abundant number, since it is smaller than the sum of its proper divisors (1062072720).

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

425332080 is a wasteful number, since it uses less digits than its factorization.

425332080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 425332080 is about 20623.5806784370. The cubic root of 425332080 is about 752.0430694361.

The spelling of 425332080 in words is "four hundred twenty-five million, three hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 67 72 80 90 108 120 134 135 144 180 201 216 240 268 270 335 360 402 432 536 540 603 670 720 804 1005 1072 1080 1206 1340 1608 1809 2010 2160 2412 2680 2939 3015 3216 3618 4020 4824 5360 5878 6030 7236 8040 8817 9045 9648 11756 12060 14472 14695 16080 17634 18090 23512 24120 26451 28944 29390 35268 36180 44085 47024 48240 52902 58780 70536 72360 79353 88170 105804 117560 132255 141072 144720 158706 176340 196913 211608 235120 264510 317412 352680 393826 396765 423216 529020 590739 634824 705360 787652 793530 984565 1058040 1181478 1269648 1575304 1587060 1772217 1969130 2116080 2362956 2953695 3150608 3174120 3544434 3938260 4725912 5316651 5907390 6348240 7088868 7876520 8861085 9451824 10633302 11814780 14177736 15753040 17722170 21266604 23629560 26583255 28355472 35444340 42533208 47259120 53166510 70888680 85066416 106333020 141777360 212666040 425332080