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381244752 = 24337139907
BaseRepresentation
bin10110101110010…
…101010101010000
3222120101020111000
4112232111111100
51240044313002
6101455222000
712306345510
oct2656252520
9876336430
10381244752
11186225909
12a7817900
1360ca5915
14388c1840
152370b61c
hex16b95550

381244752 has 160 divisors (see below), whose sum is σ = 1261030400. Its totient is φ = 108024192.

The previous prime is 381244723. The next prime is 381244793. The reversal of 381244752 is 257442183.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419883 + ... + 420789.

It is an arithmetic number, because the mean of its divisors is an integer number (7881440).

Almost surely, 2381244752 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 381244752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630515200).

381244752 is an abundant number, since it is smaller than the sum of its proper divisors (879785648).

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

381244752 is a wasteful number, since it uses less digits than its factorization.

381244752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1058 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 381244752 is about 19525.4898017950. The cubic root of 381244752 is about 725.1056537265.

The spelling of 381244752 in words is "three hundred eighty-one million, two hundred forty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 139 144 168 189 216 252 278 336 378 417 432 504 556 756 834 907 973 1008 1112 1251 1512 1668 1814 1946 2224 2502 2721 2919 3024 3336 3628 3753 3892 5004 5442 5838 6349 6672 7256 7506 7784 8163 8757 10008 10884 11676 12698 14512 15012 15568 16326 17514 19047 20016 21768 23352 24489 25396 26271 30024 32652 35028 38094 43536 46704 48978 50792 52542 57141 60048 65304 70056 76188 97956 101584 105084 114282 126073 130608 140112 152376 171423 195912 210168 228564 252146 304752 342846 378219 391824 420336 457128 504292 685692 756438 882511 914256 1008584 1134657 1371384 1512876 1765022 2017168 2269314 2647533 2742768 3025752 3403971 3530044 4538628 5295066 6051504 6807942 7060088 7942599 9077256 10590132 13615884 14120176 15885198 18154512 21180264 23827797 27231768 31770396 42360528 47655594 54463536 63540792 95311188 127081584 190622376 381244752