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1908096048 = 243317416337
BaseRepresentation
bin111000110111011…
…0011110000110000
311220222102022201000
41301232303300300
512401433033143
6513201042000
765166356145
oct16156636060
94828368630
101908096048
1189a085891
12453026300
13245409921
141415b43cc
15b27abbd3
hex71bb3c30

1908096048 has 160 divisors (see below), whose sum is σ = 5941494720. Its totient is φ = 583925760.

The previous prime is 1908096037. The next prime is 1908096053. The reversal of 1908096048 is 8406908091.

It is a junction number, because it is equal to n+sod(n) for n = 1908095994 and 1908096012.

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, 297936 + ... + 304272.

It is an arithmetic number, because the mean of its divisors is an integer number (37134342).

Almost surely, 21908096048 is an apocalyptic number.

1908096048 is a gapful number since it is divisible by the number (18) 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 1908096048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970747360).

1908096048 is an abundant number, since it is smaller than the sum of its proper divisors (4033398672).

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

1908096048 is a wasteful number, since it uses less digits than its factorization.

1908096048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1908096048 is about 43681.7587558010. The cubic root of 1908096048 is about 1240.3190403488.

The spelling of 1908096048 in words is "one billion, nine hundred eight million, ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 41 48 51 54 68 72 82 102 108 123 136 144 153 164 204 216 246 272 306 328 369 408 432 459 492 612 656 697 738 816 918 984 1107 1224 1394 1476 1836 1968 2091 2214 2448 2788 2952 3672 4182 4428 5576 5904 6273 6337 7344 8364 8856 11152 12546 12674 16728 17712 18819 19011 25092 25348 33456 37638 38022 50184 50696 57033 75276 76044 100368 101392 107729 114066 150552 152088 171099 215458 228132 259817 301104 304176 323187 342198 430916 456264 519634 646374 684396 779451 861832 912528 969561 1039268 1292748 1368792 1558902 1723664 1939122 2078536 2338353 2585496 2737584 2908683 3117804 3878244 4157072 4416889 4676706 5170992 5817366 6235608 7015059 7756488 8833778 9353412 11634732 12471216 13250667 14030118 15512976 17667556 18706824 23269464 26501334 28060236 35335112 37413648 39752001 46538928 53002668 56120472 70670224 79504002 106005336 112240944 119256003 159008004 212010672 238512006 318016008 477024012 636032016 954048024 1908096048