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465060704 = 25172941719
BaseRepresentation
bin11011101110000…
…100001101100000
31012102002112100112
4123232010031200
51423023420304
6114051510452
714344644053
oct3356041540
91172075315
10465060704
11219572a99
1210b8b8428
1375470b64
1445a9ca9a
152ac65b6e
hex1bb84360

465060704 has 96 divisors (see below), whose sum is σ = 1028764800. Its totient is φ = 205864960.

The previous prime is 465060697. The next prime is 465060707. The reversal of 465060704 is 407060564.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465060707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646457 + ... + 647175.

It is an arithmetic number, because the mean of its divisors is an integer number (10716300).

Almost surely, 2465060704 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 465060704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514382400).

465060704 is an abundant number, since it is smaller than the sum of its proper divisors (563704096).

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

465060704 is a wasteful number, since it uses less digits than its factorization.

465060704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 465060704 is about 21565.2661472100. The cubic root of 465060704 is about 774.7648007754.

The spelling of 465060704 in words is "four hundred sixty-five million, sixty thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 29 32 34 41 58 68 82 116 136 164 232 272 328 464 493 544 656 697 719 928 986 1189 1312 1394 1438 1972 2378 2788 2876 3944 4756 5576 5752 7888 9512 11152 11504 12223 15776 19024 20213 20851 22304 23008 24446 29479 38048 40426 41702 48892 58958 80852 83404 97784 117916 161704 166808 195568 235832 323408 333616 354467 391136 471664 501143 646816 667232 708934 854891 943328 1002286 1417868 1709782 2004572 2835736 3419564 4009144 5671472 6839128 8018288 11342944 13678256 14533147 16036576 27356512 29066294 58132588 116265176 232530352 465060704