Search a number
-
+
380576042 = 2721117191093
BaseRepresentation
bin10110101011110…
…010000100101010
3222112010021011222
4112223302010222
51234411413132
6101433022042
712300562100
oct2653620452
9875107158
10380576042
11185909460
12a7554922
1360b00432
1438789c70
1523628412
hex16af212a

380576042 has 96 divisors (see below), whose sum is σ = 808159680. Its totient is φ = 132088320.

The previous prime is 380576033. The next prime is 380576081. The reversal of 380576042 is 240675083.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 380575993 and 380576011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347648 + ... + 348740.

It is an arithmetic number, because the mean of its divisors is an integer number (8418330).

Almost surely, 2380576042 is an apocalyptic number.

380576042 is an abundant number, since it is smaller than the sum of its proper divisors (427583638).

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

380576042 is a wasteful number, since it uses less digits than its factorization.

380576042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 380576042 is about 19508.3582599869. The cubic root of 380576042 is about 724.6814562567.

The spelling of 380576042 in words is "three hundred eighty million, five hundred seventy-six thousand, forty-two".

Divisors: 1 2 7 11 14 17 19 22 34 38 49 77 98 119 133 154 187 209 238 266 323 374 418 539 646 833 931 1078 1093 1309 1463 1666 1862 2186 2261 2618 2926 3553 4522 7106 7651 9163 10241 12023 15302 15827 18326 18581 20482 20767 24046 24871 31654 37162 41534 49742 53557 84161 107114 130067 145369 168322 174097 204391 228437 260134 290738 348194 353039 408782 456874 589127 706078 910469 1017583 1178254 1430737 1599059 1820938 2035166 2471273 2861474 3198118 3883429 4942546 7766858 10015159 11193413 17298911 20030318 22386826 27184003 34597822 54368006 190288021 380576042