Search a number
-
+
1486483152 = 243711523769
BaseRepresentation
bin101100010011001…
…1110111011010000
310211121002011112120
41120212132323100
511021014430102
6403300254240
751556620060
oct13046367320
93747064476
101486483152
116a3098880
123559a1380
131a8c6ba3b
141015c53a0
158a7796bc
hex5899eed0

1486483152 has 160 divisors (see below), whose sum is σ = 4803025920. Its totient is φ = 384860160.

The previous prime is 1486483133. The next prime is 1486483171. The reversal of 1486483152 is 2513846841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1486483133) and next prime (1486483171).

It is a super-2 number, since 2×14864831522 = 4419264322359710208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1932624 + ... + 1933392.

It is an arithmetic number, because the mean of its divisors is an integer number (30018912).

Almost surely, 21486483152 is an apocalyptic number.

1486483152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1486483152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401512960).

1486483152 is an abundant number, since it is smaller than the sum of its proper divisors (3316542768).

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

1486483152 is a wasteful number, since it uses less digits than its factorization.

1486483152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 1486483152 is about 38554.9368045131. The cubic root of 1486483152 is about 1141.2654338385.

The spelling of 1486483152 in words is "one billion, four hundred eighty-six million, four hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 523 528 616 769 924 1046 1232 1538 1569 1848 2092 2307 3076 3138 3661 3696 4184 4614 5383 5753 6152 6276 7322 8368 8459 9228 10766 10983 11506 12304 12552 14644 16149 16918 17259 18456 21532 21966 23012 25104 25377 29288 32298 33836 34518 36912 40271 43064 43932 46024 50754 58576 59213 64596 67672 69036 80542 86128 87864 92048 101508 118426 120813 129192 135344 138072 161084 175728 177639 203016 236852 241626 258384 276144 322168 355278 402187 406032 473704 483252 644336 710556 804374 947408 966504 1206561 1421112 1608748 1933008 2413122 2815309 2842224 3217496 4424057 4826244 5630618 6434992 8445927 8848114 9652488 11261236 13272171 16891854 17696228 19304976 22522472 26544342 30968399 33783708 35392456 45044944 53088684 61936798 67567416 70784912 92905197 106177368 123873596 135134832 185810394 212354736 247747192 371620788 495494384 743241576 1486483152