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482922240 = 2835196619
BaseRepresentation
bin11100110010001…
…100111100000000
31020122200222202220
4130302030330000
51442112002430
6115530411040
714652525363
oct3462147400
91218628686
10482922240
11228662699
12115890a80
1379085b08
14481cc0da
152c5e3110
hex1cc8cf00

482922240 has 144 divisors (see below), whose sum is σ = 1623753600. Its totient is φ = 121982976.

The previous prime is 482922233. The next prime is 482922263. The reversal of 482922240 is 42229284.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69651 + ... + 76269.

Almost surely, 2482922240 is an apocalyptic number.

482922240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811876800).

482922240 is an abundant number, since it is smaller than the sum of its proper divisors (1140831360).

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

482922240 is a wasteful number, since it uses less digits than its factorization.

482922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 482922240 is about 21975.4918033704. The cubic root of 482922240 is about 784.5592289387.

The spelling of 482922240 in words is "four hundred eighty-two million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 3040 3648 3840 4560 4864 6080 6619 7296 9120 12160 13238 14592 18240 19857 24320 26476 33095 36480 39714 52952 66190 72960 79428 99285 105904 125761 132380 158856 198570 211808 251522 264760 317712 377283 397140 423616 503044 529520 628805 635424 754566 794280 847232 1006088 1059040 1257610 1270848 1509132 1588560 1694464 1886415 2012176 2118080 2515220 2541696 3018264 3177120 3772830 4024352 4236160 5030440 5083392 6036528 6354240 7545660 8048704 8472320 10060880 12073056 12708480 15091320 16097408 20121760 24146112 25416960 30182640 32194816 40243520 48292224 60365280 80487040 96584448 120730560 160974080 241461120 482922240