Search a number
-
+
381157056 = 2633731511
BaseRepresentation
bin10110101101111…
…111111011000000
3222120012210012000
4112231333323000
51240034011211
6101453304000
712305532030
oct2655777300
9876183160
10381157056
11186175a35
12a7795000
1360c74a27
143889b8c0
15236e0656
hex16b7fec0

381157056 has 112 divisors (see below), whose sum is σ = 1280647680. Its totient is φ = 108898560.

The previous prime is 381157027. The next prime is 381157061. The reversal of 381157056 is 650751183.

381157056 is a `hidden beast` number, since 3 + 81 + 1 + 570 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 381157056.

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, 3660 + ... + 27851.

Almost surely, 2381157056 is an apocalyptic number.

381157056 is a gapful number since it is divisible by the number (36) 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 381157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640323840).

381157056 is an abundant number, since it is smaller than the sum of its proper divisors (899490624).

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

381157056 is a wasteful number, since it uses less digits than its factorization.

381157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31539 (or 31523 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 381157056 is about 19523.2439927385. The cubic root of 381157056 is about 725.0500518754.

The spelling of 381157056 in words is "three hundred eighty-one million, one hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 31511 63022 94533 126044 189066 220577 252088 283599 378132 441154 504176 567198 661731 756264 850797 882308 1008352 1134396 1323462 1512528 1701594 1764616 1985193 2016704 2268792 2646924 3025056 3403188 3529232 3970386 4537584 5293848 5955579 6050112 6806376 7058464 7940772 9075168 10587696 11911158 13612752 14116928 15881544 18150336 21175392 23822316 27225504 31763088 42350784 47644632 54451008 63526176 95289264 127052352 190578528 381157056