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1484922912 = 253114134297
BaseRepresentation
bin101100010000010…
…0010000000100000
310211111010220021220
41120200202000200
511020120013122
6403203015040
751540431214
oct13040420040
93744126256
101484922912
116a2222620
1235536a480
131a8843815
141012da944
158a56c25c
hex58822020

1484922912 has 96 divisors (see below), whose sum is σ = 4356120384. Its totient is φ = 438988800.

The previous prime is 1484922911. The next prime is 1484922937. The reversal of 1484922912 is 2192294841.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1484922911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26148 + ... + 60444.

It is an arithmetic number, because the mean of its divisors is an integer number (45376254).

Almost surely, 21484922912 is an apocalyptic number.

1484922912 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 1484922912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178060192).

1484922912 is an abundant number, since it is smaller than the sum of its proper divisors (2871197472).

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

1484922912 is a wasteful number, since it uses less digits than its factorization.

1484922912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34362 (or 34354 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1484922912 is about 38534.6975075710. The cubic root of 1484922912 is about 1140.8659963380.

The spelling of 1484922912 in words is "one billion, four hundred eighty-four million, nine hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 34297 43296 68594 102891 137188 205782 274376 377267 411564 548752 754534 823128 1097504 1131801 1406177 1509068 1646256 2263602 2812354 3018136 3292512 4218531 4527204 5624708 6036272 8437062 9054408 11249416 12072544 15467947 16874124 18108816 22498832 30935894 33748248 36217632 44997664 46403841 61871788 67496496 92807682 123743576 134992992 185615364 247487152 371230728 494974304 742461456 1484922912