Search a number
-
+
1942578048 = 27331533079
BaseRepresentation
bin111001111001001…
…0110001110000000
312000101022012010010
41303302112032000
512434244444143
6520432104520
766065432565
oct16362261600
95011265103
101942578048
11907597704
12462695140
1324c5c0988
14145dcc86c
15b581da33
hex73c96380

1942578048 has 128 divisors (see below), whose sum is σ = 5428684800. Its totient is φ = 614615040.

The previous prime is 1942578023. The next prime is 1942578061. The reversal of 1942578048 is 8408752491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1942577988 and 1942578006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629373 + ... + 632451.

It is an arithmetic number, because the mean of its divisors is an integer number (42411600).

Almost surely, 21942578048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1942578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714342400).

1942578048 is an abundant number, since it is smaller than the sum of its proper divisors (3486106752).

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

1942578048 is a wasteful number, since it uses less digits than its factorization.

1942578048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 1942578048 is about 44074.6871571427. The cubic root of 1942578048 is about 1247.7459213200.

The spelling of 1942578048 in words is "one billion, nine hundred forty-two million, five hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 128 159 186 192 212 248 318 372 384 424 496 636 744 848 992 1272 1488 1643 1696 1984 2544 2976 3079 3286 3392 3968 4929 5088 5952 6158 6572 6784 9237 9858 10176 11904 12316 13144 18474 19716 20352 24632 26288 36948 39432 49264 52576 73896 78864 95449 98528 105152 147792 157728 163187 190898 197056 210304 286347 295584 315456 326374 381796 394112 489561 572694 591168 630912 652748 763592 979122 1145388 1182336 1305496 1527184 1958244 2290776 2610992 3054368 3916488 4581552 5058797 5221984 6108736 7832976 9163104 10117594 10443968 12217472 15176391 15665952 18326208 20235188 20887936 30352782 31331904 36652416 40470376 60705564 62663808 80940752 121411128 161881504 242822256 323763008 485644512 647526016 971289024 1942578048