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381538248 = 233713971801
BaseRepresentation
bin10110101111011…
…100111111001000
3222120221011002020
4112233130333020
51240133210443
6101505404440
712312010260
oct2657347710
9876834066
10381538248
11186406373
12a7939720
13610793a0
143895a7a0
1523768583
hex16bdcfc8

381538248 has 128 divisors (see below), whose sum is σ = 1186725120. Its totient is φ = 99532800.

The previous prime is 381538247. The next prime is 381538271. The reversal of 381538248 is 842835183.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (381538243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210948 + ... + 212748.

It is an arithmetic number, because the mean of its divisors is an integer number (9271290).

Almost surely, 2381538248 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 381538248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593362560).

381538248 is an abundant number, since it is smaller than the sum of its proper divisors (805186872).

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

381538248 is a wasteful number, since it uses less digits than its factorization.

381538248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1923 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 381538248 is about 19533.0040700349. The cubic root of 381538248 is about 725.2916768521.

The spelling of 381538248 in words is "three hundred eighty-one million, five hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 97 104 156 168 182 194 273 291 312 364 388 546 582 679 728 776 1092 1164 1261 1358 1801 2037 2184 2328 2522 2716 3602 3783 4074 5044 5403 5432 7204 7566 8148 8827 10088 10806 12607 14408 15132 16296 17654 21612 23413 25214 26481 30264 35308 37821 43224 46826 50428 52962 70239 70616 75642 93652 100856 105924 140478 151284 163891 174697 187304 211848 280956 302568 327782 349394 491673 524091 561912 655564 698788 983346 1048182 1222879 1311128 1397576 1966692 2096364 2271061 2445758 3668637 3933384 4192728 4542122 4891516 6813183 7337274 9084244 9783032 13626366 14674548 15897427 18168488 27252732 29349096 31794854 47692281 54505464 63589708 95384562 127179416 190769124 381538248