Search a number
-
+
387469888 = 261319127193
BaseRepresentation
bin10111000110000…
…101001001000000
31000000002111202121
4113012011021000
51243143014023
6102240454024
712413303551
oct2706051100
91000074677
10387469888
11189797953
12a991a314
1362375230
1439662328
152403ad5d
hex17185240

387469888 has 112 divisors (see below), whose sum is σ = 883025920. Its totient is φ = 167215104.

The previous prime is 387469879. The next prime is 387469889. The reversal of 387469888 is 888964783.

It is not an unprimeable number, because it can be changed into a prime (387469889) 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, 2007520 + ... + 2007712.

It is an arithmetic number, because the mean of its divisors is an integer number (7884160).

Almost surely, 2387469888 is an apocalyptic number.

387469888 is a gapful number since it is divisible by the number (38) 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 387469888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441512960).

387469888 is an abundant number, since it is smaller than the sum of its proper divisors (495556032).

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

387469888 is a wasteful number, since it uses less digits than its factorization.

387469888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 61.

The square root of 387469888 is about 19684.2548246054. The cubic root of 387469888 is about 729.0309829944.

The spelling of 387469888 in words is "three hundred eighty-seven million, four hundred sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 127 152 193 208 247 254 304 386 416 494 508 608 772 832 988 1016 1216 1544 1651 1976 2032 2413 2509 3088 3302 3667 3952 4064 4826 5018 6176 6604 7334 7904 8128 9652 10036 12352 13208 14668 15808 19304 20072 24511 26416 29336 31369 38608 40144 47671 49022 52832 58672 62738 77216 80288 95342 98044 105664 117344 125476 154432 160576 190684 196088 234688 250952 318643 381368 392176 465709 501904 637286 762736 784352 931418 1003808 1274572 1525472 1568704 1862836 2007616 2549144 3050944 3725672 5098288 6054217 7451344 10196576 12108434 14902688 20393152 24216868 29805376 48433736 96867472 193734944 387469888