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1948012794 = 233713596719
BaseRepresentation
bin111010000011100…
…0101000011111010
312000202112022012000
41310013011003322
512442142402134
6521144401430
766162556410
oct16407050372
95022468160
101948012794
1190a669932
12464476276
132507745c0
14146a052b0
15b6043e99
hex741c50fa

1948012794 has 128 divisors (see below), whose sum is σ = 5419008000. Its totient is φ = 504978624.

The previous prime is 1948012699. The next prime is 1948012817. The reversal of 1948012794 is 4972108491.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286567 + ... + 293285.

It is an arithmetic number, because the mean of its divisors is an integer number (42336000).

Almost surely, 21948012794 is an apocalyptic number.

1948012794 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948012794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504000).

1948012794 is an abundant number, since it is smaller than the sum of its proper divisors (3470995206).

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

1948012794 is a wasteful number, since it uses less digits than its factorization.

1948012794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1948012794 is about 44136.2979190598. The cubic root of 1948012794 is about 1248.9084431337.

The spelling of 1948012794 in words is "one billion, nine hundred forty-eight million, twelve thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 59 63 78 91 117 118 126 177 182 189 234 273 351 354 378 413 531 546 702 767 819 826 1062 1239 1534 1593 1638 2301 2457 2478 3186 3717 4602 4914 5369 6719 6903 7434 10738 11151 13438 13806 16107 20157 20709 22302 32214 40314 41418 47033 48321 60471 87347 94066 96642 120942 141099 144963 174694 181413 262041 282198 289926 362826 396421 423297 524082 611429 786123 792842 846594 1189263 1222858 1269891 1572246 1834287 2358369 2378526 2539782 2774947 3567789 3668574 4716738 5153473 5502861 5549894 7135578 8324841 10306946 10703367 11005722 15460419 16508583 16649682 21406734 24974523 30920838 33017166 36074311 46381257 49949046 72148622 74923569 92762514 108222933 139143771 149847138 216445866 278287542 324668799 649337598 974006397 1948012794