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481213764 = 223317349751
BaseRepresentation
bin11100101011101…
…011110101000100
31020112111012012000
4130223223311010
51441142320024
6115430025300
714632151403
oct3453536504
91215435160
10481213764
112276a6029
121151a8230
1378908295
1447ca563a
152c3a6cc9
hex1caebd44

481213764 has 96 divisors (see below), whose sum is σ = 1326528000. Its totient is φ = 150336000.

The previous prime is 481213763. The next prime is 481213769. The reversal of 481213764 is 467312184.

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

It is not an unprimeable number, because it can be changed into a prime (481213763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640389 + ... + 641139.

It is an arithmetic number, because the mean of its divisors is an integer number (13818000).

Almost surely, 2481213764 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 481213764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663264000).

481213764 is an abundant number, since it is smaller than the sum of its proper divisors (845314236).

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

481213764 is a wasteful number, since it uses less digits than its factorization.

481213764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1122 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 481213764 is about 21936.5850578434. The cubic root of 481213764 is about 783.6329345997.

The spelling of 481213764 in words is "four hundred eighty-one million, two hundred thirteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 349 459 612 698 751 918 1047 1396 1502 1836 2094 2253 3004 3141 4188 4506 5933 6282 6759 9012 9423 11866 12564 12767 13518 17799 18846 20277 23732 25534 27036 35598 37692 38301 40554 51068 53397 71196 76602 81108 106794 114903 153204 160191 213588 229806 262099 320382 344709 459612 524198 640764 689418 786297 1048396 1378836 1572594 2358891 3145188 4455683 4717782 7076673 8911366 9435564 13367049 14153346 17822732 26734098 28306692 40101147 53468196 80202294 120303441 160404588 240606882 481213764