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508109040 = 24325798933
BaseRepresentation
bin11110010010010…
…010000011110000
31022102002121120100
4132102102003300
52020033442130
6122230312400
715406566315
oct3622220360
91272077510
10508109040
112408a592a
121221b8700
138136404a
144b6a6d0c
152e91ac60
hex1e4920f0

508109040 has 120 divisors (see below), whose sum is σ = 1728192960. Its totient is φ = 133765632.

The previous prime is 508109009. The next prime is 508109047. The reversal of 508109040 is 40901805.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 508108995 and 508109013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508109047) 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, 52414 + ... + 61346.

It is an arithmetic number, because the mean of its divisors is an integer number (14401608).

Almost surely, 2508109040 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 508109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864096480).

508109040 is an abundant number, since it is smaller than the sum of its proper divisors (1220083920).

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

508109040 is a wasteful number, since it uses less digits than its factorization.

508109040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9031 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 508109040 is about 22541.2741432245. The cubic root of 508109040 is about 797.9683029602.

The spelling of 508109040 in words is "five hundred eight million, one hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 7110 8933 9480 11376 14220 17866 18960 26799 28440 35732 44665 53598 56880 71464 80397 89330 107196 133995 142928 160794 178660 214392 267990 321588 357320 401985 428784 535980 643176 705707 714640 803970 1071960 1286352 1411414 1607940 2117121 2143920 2822828 3215880 3528535 4234242 5645656 6351363 6431760 7057070 8468484 10585605 11291312 12702726 14114140 16936968 21171210 25405452 28228280 31756815 33873936 42342420 50810904 56456560 63513630 84684840 101621808 127027260 169369680 254054520 508109040