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538374240 = 25325461811
BaseRepresentation
bin100000000101101…
…111000001100000
31101112001020121200
4200011233001200
52100310433430
6125231121200
716225051125
oct4005570140
91345036550
10538374240
11256997598
12130373200
13876cc951
145170474c
15323e8460
hex2016f060

538374240 has 144 divisors (see below), whose sum is σ = 1843457616. Its totient is φ = 143078400.

The previous prime is 538374229. The next prime is 538374247. The reversal of 538374240 is 42473835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 538374195 and 538374204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538374247) 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, 663435 + ... + 664245.

It is an arithmetic number, because the mean of its divisors is an integer number (12801789).

Almost surely, 2538374240 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 538374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921728808).

538374240 is an abundant number, since it is smaller than the sum of its proper divisors (1305083376).

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

538374240 is a wasteful number, since it uses less digits than its factorization.

538374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 538374240 is about 23202.8929230818. The cubic root of 538374240 is about 813.5072428139.

The spelling of 538374240 in words is "five hundred thirty-eight million, three hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 461 480 720 811 922 1383 1440 1622 1844 2305 2433 2766 3244 3688 4055 4149 4610 4866 5532 6488 6915 7299 7376 8110 8298 9220 9732 11064 12165 12976 13830 14598 14752 16220 16596 18440 19464 20745 22128 24330 25952 27660 29196 32440 33192 36495 36880 38928 41490 44256 48660 55320 58392 64880 66384 72990 73760 77856 82980 97320 110640 116784 129760 132768 145980 165960 194640 221280 233568 291960 331920 373871 389280 583920 663840 747742 1121613 1167840 1495484 1869355 2243226 2990968 3364839 3738710 4486452 5608065 5981936 6729678 7477420 8972904 11216130 11963872 13459356 14954840 16824195 17945808 22432260 26918712 29909680 33648390 35891616 44864520 53837424 59819360 67296780 89729040 107674848 134593560 179458080 269187120 538374240