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1485731412 = 2232113101307
BaseRepresentation
bin101100010001110…
…0111011001010100
310211112122222100100
41120203213121110
511020321401122
6403232214100
751550336314
oct13043473124
93745588310
101485731412
116a2725000
1235569a330
131a8a67819
1410146b444
158a67baac
hex588e7654

1485731412 has 144 divisors (see below), whose sum is σ = 4185365184. Its totient is φ = 444312000.

The previous prime is 1485731407. The next prime is 1485731419. The reversal of 1485731412 is 2141375841.

1485731412 is a `hidden beast` number, since 1 + 48 + 573 + 1 + 41 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485731419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4839363 + ... + 4839669.

It is an arithmetic number, because the mean of its divisors is an integer number (29065036).

Almost surely, 21485731412 is an apocalyptic number.

1485731412 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 1485731412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092682592).

1485731412 is an abundant number, since it is smaller than the sum of its proper divisors (2699633772).

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

1485731412 is a wasteful number, since it uses less digits than its factorization.

1485731412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 424 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1485731412 is about 38545.1866255697. The cubic root of 1485731412 is about 1141.0730155702.

The spelling of 1485731412 in words is "one billion, four hundred eighty-five million, seven hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 121 132 198 202 242 303 307 363 396 404 484 606 614 726 909 921 1089 1111 1212 1228 1331 1452 1818 1842 2178 2222 2662 2763 3333 3377 3636 3684 3993 4356 4444 5324 5526 6666 6754 7986 9999 10131 11052 11979 12221 13332 13508 15972 19998 20262 23958 24442 30393 31007 36663 37147 39996 40524 47916 48884 60786 62014 73326 74294 93021 109989 111441 121572 124028 134431 146652 148588 186042 219978 222882 268862 279063 334323 341077 372084 403293 408617 439956 445764 537724 558126 668646 682154 806586 817234 1023231 1116252 1209879 1225851 1337292 1364308 1613172 1634468 2046462 2419758 2451702 3069693 3677553 3751847 4092924 4839516 4903404 6139386 7355106 7503694 11255541 12278772 14710212 15007388 22511082 33766623 41270317 45022164 67533246 82540634 123810951 135066492 165081268 247621902 371432853 495243804 742865706 1485731412