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1485888642 = 232722389823
BaseRepresentation
bin101100010010000…
…1101110010000010
310211112221222000200
41120210031302002
511020341414032
6403235430030
751551562600
oct13044156202
93745858020
101485888642
116a2822147
12355755316
131a8ac1264
141014ac870
158a6ad47c
hex5890dc82

1485888642 has 144 divisors (see below), whose sum is σ = 3956584320. Its totient is φ = 401030784.

The previous prime is 1485888637. The next prime is 1485888707. The reversal of 1485888642 is 2468885841.

1485888642 is a `hidden beast` number, since 1 + 485 + 88 + 86 + 4 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1805043 + ... + 1805865.

It is an arithmetic number, because the mean of its divisors is an integer number (27476280).

Almost surely, 21485888642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1485888642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978292160).

1485888642 is an abundant number, since it is smaller than the sum of its proper divisors (2470695678).

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

1485888642 is a wasteful number, since it uses less digits than its factorization.

1485888642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The square root of 1485888642 is about 38547.2261258836. The cubic root of 1485888642 is about 1141.1132661342.

The spelling of 1485888642 in words is "one billion, four hundred eighty-five million, eight hundred eighty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 89 98 126 138 147 161 178 207 267 294 322 414 441 483 534 623 801 823 882 966 1127 1246 1449 1602 1646 1869 2047 2254 2469 2898 3381 3738 4094 4361 4938 5607 5761 6141 6762 7407 8722 10143 11214 11522 12282 13083 14329 14814 17283 18423 18929 20286 26166 28658 34566 36846 37858 39249 40327 42987 51849 56787 73247 78498 80654 85974 100303 103698 113574 120981 128961 132503 146494 170361 200606 219741 241962 257922 265006 300909 340722 362943 397509 439482 512729 601818 659223 725886 795018 902727 927521 1025458 1192527 1318446 1538187 1684681 1805454 1855042 2385054 2782563 3076374 3369362 3589103 4614561 5054043 5565126 7178206 8347689 9229122 10108086 10767309 11792767 15162129 16695378 21534618 23585534 30324258 32301927 35378301 64603854 70756602 82549369 106134903 165098738 212269806 247648107 495296214 742944321 1485888642