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481380462 = 233311372099
BaseRepresentation
bin11100101100010…
…100100001101110
31020112210122212000
4130230110201232
51441213133322
6115433353130
714633444403
oct3454244156
91215718760
10481380462
112277aa2a2
121152687a6
1378966114
1447d0a2aa
152c3db3ac
hex1cb1486e

481380462 has 64 divisors (see below), whose sum is σ = 1112832000. Its totient is φ = 154077120.

The previous prime is 481380457. The next prime is 481380479. The reversal of 481380462 is 264083184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228289 + ... + 230387.

It is an arithmetic number, because the mean of its divisors is an integer number (17388000).

Almost surely, 2481380462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481380462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556416000).

481380462 is an abundant number, since it is smaller than the sum of its proper divisors (631451538).

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

481380462 is a wasteful number, since it uses less digits than its factorization.

481380462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 481380462 is about 21940.3842719311. The cubic root of 481380462 is about 783.7234106499.

The spelling of 481380462 in words is "four hundred eighty-one million, three hundred eighty thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 137 186 274 279 411 558 822 837 1233 1674 2099 2466 3699 4198 4247 6297 7398 8494 12594 12741 18891 25482 37782 38223 56673 65069 76446 113346 114669 130138 195207 229338 287563 390414 575126 585621 862689 1171242 1725378 1756863 2588067 3513726 5176134 7764201 8914453 15528402 17828906 26743359 53486718 80230077 160460154 240690231 481380462