Search a number
-
+
381041472 = 2637509557
BaseRepresentation
bin10110101101100…
…011101101000000
3222112222220122010
4112231203231000
51240021311342
6101451012520
712304541040
oct2655435500
9875886563
10381041472
111860a7109
12a773a140
1360c34236
143886b720
15236bb29c
hex16b63b40

381041472 has 112 divisors (see below), whose sum is σ = 1156533120. Its totient is φ = 108460032.

The previous prime is 381041471. The next prime is 381041509. The reversal of 381041472 is 274140183.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381041471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683818 + ... + 684374.

Almost surely, 2381041472 is an apocalyptic number.

381041472 is a gapful number since it is divisible by the number (32) 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 381041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578266560).

381041472 is an abundant number, since it is smaller than the sum of its proper divisors (775491648).

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

381041472 is a wasteful number, since it uses less digits than its factorization.

381041472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 381041472 is about 19520.2836044971. The cubic root of 381041472 is about 724.9767551802.

The spelling of 381041472 in words is "three hundred eighty-one million, forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 509 557 672 1018 1114 1344 1527 1671 2036 2228 3054 3342 3563 3899 4072 4456 6108 6684 7126 7798 8144 8912 10689 11697 12216 13368 14252 15596 16288 17824 21378 23394 24432 26736 28504 31192 32576 35648 42756 46788 48864 53472 57008 62384 85512 93576 97728 106944 114016 124768 171024 187152 228032 249536 283513 342048 374304 567026 684096 748608 850539 1134052 1701078 1984591 2268104 3402156 3969182 4536208 5953773 6804312 7938364 9072416 11907546 13608624 15876728 18144832 23815092 27217248 31753456 47630184 54434496 63506912 95260368 127013824 190520736 381041472