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381728472 = 2331753127139
BaseRepresentation
bin10110110000001…
…011011011011000
3222121021211000120
4112300023123120
51240210302342
6101513433240
712313431666
oct2660133330
9877254016
10381728472
11186526284
12a7a0b820
1361114b48
14389a9c36
15237a4aec
hex16c0b6d8

381728472 has 128 divisors (see below), whose sum is σ = 1045094400. Its totient is φ = 115734528.

The previous prime is 381728471. The next prime is 381728483. The reversal of 381728472 is 274827183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381728471) 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, 2746179 + ... + 2746317.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2381728472 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 381728472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522547200).

381728472 is an abundant number, since it is smaller than the sum of its proper divisors (663365928).

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

381728472 is a wasteful number, since it uses less digits than its factorization.

381728472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 381728472 is about 19537.8727603596. The cubic root of 381728472 is about 725.4121933509.

The spelling of 381728472 in words is "three hundred eighty-one million, seven hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 127 136 139 159 204 212 254 278 318 381 408 417 424 508 556 636 762 834 901 1016 1112 1272 1524 1668 1802 2159 2363 2703 3048 3336 3604 4318 4726 5406 6477 6731 7089 7208 7367 8636 9452 10812 12954 13462 14178 14734 17272 17653 18904 20193 21624 22101 25908 26924 28356 29468 35306 40386 44202 51816 52959 53848 56712 58936 70612 80772 88404 105918 114427 125239 141224 161544 176808 211836 228854 250478 300101 343281 375717 423672 457708 500956 600202 686562 751434 900303 915416 935609 1001912 1200404 1373124 1502868 1800606 1871218 2400808 2746248 2806827 3005736 3601212 3742436 5613654 7202424 7484872 11227308 15905353 22454616 31810706 47716059 63621412 95432118 127242824 190864236 381728472