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426524040 = 233253138219
BaseRepresentation
bin11001011011000…
…011110110001000
31002201120122222200
4121123003312020
51333142232130
6110153520200
713366252215
oct3133036610
91081518880
10426524040
111a9841908
12baa13060
136a49a3b7
144090ab0c
15276a2760
hex196c3d88

426524040 has 96 divisors (see below), whose sum is σ = 1430956800. Its totient is φ = 110067840.

The previous prime is 426524023. The next prime is 426524047. The reversal of 426524040 is 40425624.

426524040 is a `hidden beast` number, since 4 + 2 + 652 + 4 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 426523995 and 426524013.

It is not an unprimeable number, because it can be changed into a prime (426524047) 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, 7950 + ... + 30269.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2426524040 is an apocalyptic number.

426524040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426524040 is an abundant number, since it is smaller than the sum of its proper divisors (1004432760).

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

426524040 is a wasteful number, since it uses less digits than its factorization.

426524040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38267 (or 38260 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 426524040 is about 20652.4584492985. The cubic root of 426524040 is about 752.7449282360.

Adding to 426524040 its reverse (40425624), we get a palindrome (466949664).

The spelling of 426524040 in words is "four hundred twenty-six million, five hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 38219 76438 114657 152876 191095 229314 305752 343971 382190 458628 573285 687942 764380 917256 1146570 1184789 1375884 1528760 1719855 2293140 2369578 2751768 3439710 3554367 4586280 4739156 5923945 6879420 7108734 9478312 10663101 11847890 13758840 14217468 17771835 21326202 23695780 28434936 35543670 42652404 47391560 53315505 71087340 85304808 106631010 142174680 213262020 426524040