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540226336 = 251331163257
BaseRepresentation
bin100000001100110…
…011001100100000
31101122112100012211
4200030303030200
52101244220321
6125334531504
716246563616
oct4014631440
91348470184
10540226336
11257a42051
12130b06b94
1387bca970
1451a676b6
15326620e1
hex20333320

540226336 has 96 divisors (see below), whose sum is σ = 1194213888. Its totient is φ = 238878720.

The previous prime is 540226331. The next prime is 540226339. The reversal of 540226336 is 633622045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 540226298 and 540226307.

It is not an unprimeable number, because it can be changed into a prime (540226331) 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, 2101920 + ... + 2102176.

It is an arithmetic number, because the mean of its divisors is an integer number (12439728).

Almost surely, 2540226336 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 540226336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597106944).

540226336 is an abundant number, since it is smaller than the sum of its proper divisors (653987552).

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

540226336 is a wasteful number, since it uses less digits than its factorization.

540226336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 540226336 is about 23242.7695423760. The cubic root of 540226336 is about 814.4390413877.

The spelling of 540226336 in words is "five hundred forty million, two hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 163 208 248 257 326 403 416 496 514 652 806 992 1028 1304 1612 2056 2119 2608 3224 3341 4112 4238 5053 5216 6448 6682 7967 8224 8476 10106 12896 13364 15934 16952 20212 26728 31868 33904 40424 41891 53456 63736 65689 67808 80848 83782 103571 106912 127472 131378 161696 167564 207142 254944 262756 335128 414284 525512 544583 670256 828568 1051024 1089166 1298621 1340512 1657136 2102048 2178332 2597242 3314272 4356664 5194484 8713328 10388968 16882073 17426656 20777936 33764146 41555872 67528292 135056584 270113168 540226336