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538467840 = 2932523371
BaseRepresentation
bin100000000110000…
…101111000000000
31101112020000000100
4200012011320000
52100321432330
6125233122400
716225621041
oct4006057000
91345200010
10538467840
11256a50949
121303b9400
1387733431
145172a8c8
1532416060
hex20185e00

538467840 has 120 divisors (see below), whose sum is σ = 1864945368. Its totient is φ = 143585280.

The previous prime is 538467833. The next prime is 538467851. The reversal of 538467840 is 48764835.

538467840 is a `hidden beast` number, since 538 + 4 + 6 + 78 + 40 = 666.

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

It is a super-2 number, since 2×5384678402 = 579895229428531200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11355 + ... + 34725.

Almost surely, 2538467840 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 538467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932472684).

538467840 is an abundant number, since it is smaller than the sum of its proper divisors (1326477528).

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

538467840 is a wasteful number, since it uses less digits than its factorization.

538467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23400 (or 23381 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 538467840 is about 23204.9098252934. The cubic root of 538467840 is about 813.5543846593.

The spelling of 538467840 in words is "five hundred thirty-eight million, four hundred sixty-seven thousand, eight 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 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 23371 46742 70113 93484 116855 140226 186968 210339 233710 280452 350565 373936 420678 467420 560904 701130 747872 841356 934840 1051695 1121808 1402260 1495744 1682712 1869680 2103390 2243616 2804520 2991488 3365424 3739360 4206780 4487232 5609040 5982976 6730848 7478720 8413560 8974464 11218080 11965952 13461696 14957440 16827120 17948928 22436160 26923392 29914880 33654240 35897856 44872320 53846784 59829760 67308480 89744640 107693568 134616960 179489280 269233920 538467840