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1949352912 = 2433133111197
BaseRepresentation
bin111010000110000…
…1100001111010000
312000212001101111000
41310030030033100
512443013243122
6521233222000
766210140433
oct16414141720
95025041430
101949352912
119103a4771
12464a01900
13250b23580
14146c7381a
15b620b0ac
hex7430c3d0

1949352912 has 160 divisors (see below), whose sum is σ = 6220712960. Its totient is φ = 580400640.

The previous prime is 1949352907. The next prime is 1949352929. The reversal of 1949352912 is 2192539491.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168498 + ... + 179694.

It is an arithmetic number, because the mean of its divisors is an integer number (38879456).

Almost surely, 21949352912 is an apocalyptic number.

1949352912 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 1949352912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110356480).

1949352912 is an abundant number, since it is smaller than the sum of its proper divisors (4271360048).

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

1949352912 is a wasteful number, since it uses less digits than its factorization.

1949352912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11246 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 1949352912 is about 44151.4768948899. The cubic root of 1949352912 is about 1249.1947692875.

The spelling of 1949352912 in words is "one billion, nine hundred forty-nine million, three hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6448 6696 7254 9672 10881 11197 13392 14508 19344 21762 22394 29016 33591 43524 44788 58032 67182 87048 89576 100773 134364 145561 174096 179152 201546 268728 291122 302319 347107 403092 436683 537456 582244 604638 694214 806184 873366 1041321 1164488 1209276 1310049 1388428 1612368 1746732 2082642 2328976 2418552 2620098 2776856 3123963 3493464 3930147 4165284 4512391 4837104 5240196 5553712 6247926 6986928 7860294 8330568 9024782 9371889 10480392 12495852 13537173 15720588 16661136 18049564 18743778 20960784 24991704 27074346 31441176 36099128 37487556 40611519 49983408 54148692 62882352 72198256 74975112 81223038 108297384 121834557 149950224 162446076 216594768 243669114 324892152 487338228 649784304 974676456 1949352912