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487640070 = 23251767271
BaseRepresentation
bin11101000100001…
…100110000000110
31020222120200102100
4131010030300012
51444313440240
6120215452530
715040605111
oct3504146006
91228520370
10487640070
11230295225
12117387146
137a048328
1448a99578
152cc25e30
hex1d10cc06

487640070 has 144 divisors (see below), whose sum is σ = 1381974048. Its totient is φ = 118863360.

The previous prime is 487640051. The next prime is 487640077. The reversal of 487640070 is 70046784.

It is a happy number.

487640070 is a `hidden beast` number, since 4 + 8 + 7 + 640 + 0 + 7 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487640077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6868135 + ... + 6868205.

It is an arithmetic number, because the mean of its divisors is an integer number (9597042).

Almost surely, 2487640070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487640070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690987024).

487640070 is an abundant number, since it is smaller than the sum of its proper divisors (894333978).

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

487640070 is a wasteful number, since it uses less digits than its factorization.

487640070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 487640070 is about 22082.5738988914. The cubic root of 487640070 is about 787.1058284353.

The spelling of 487640070 in words is "four hundred eighty-seven million, six hundred forty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 67 71 85 90 102 134 142 153 170 201 213 255 306 335 355 402 426 510 603 639 670 710 765 1005 1065 1139 1206 1207 1278 1530 2010 2130 2278 2414 3015 3195 3417 3621 4489 4757 5695 6030 6035 6390 6834 7242 8978 9514 10251 10863 11390 12070 13467 14271 17085 18105 20502 21726 22445 23785 26934 28542 34170 36210 40401 42813 44890 47570 51255 54315 67335 71355 76313 80802 80869 85626 102510 108630 134670 142710 152626 161738 202005 214065 228939 242607 318719 381565 404010 404345 428130 457878 485214 637438 686817 727821 763130 808690 956157 1144695 1213035 1373634 1455642 1593595 1912314 2289390 2426070 2868471 3187190 3434085 3639105 4780785 5418223 5736942 6868170 7278210 9561570 10836446 14342355 16254669 27091115 28684710 32509338 48764007 54182230 81273345 97528014 162546690 243820035 487640070