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389408256 = 2933171657
BaseRepresentation
bin10111001101011…
…110011000000000
31000010201222201000
4113031132120000
51244142031011
6102350212000
712435626016
oct2715363000
91003658630
10389408256
1118a8a1206
12aa4b4000
13628a35b3
1439a088b6
15242c0356
hex1735e600

389408256 has 160 divisors (see below), whose sum is σ = 1221216480. Its totient is φ = 122093568.

The previous prime is 389408209. The next prime is 389408269. The reversal of 389408256 is 652804983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234180 + ... + 235836.

It is an arithmetic number, because the mean of its divisors is an integer number (7632603).

Almost surely, 2389408256 is an apocalyptic number.

389408256 is a gapful number since it is divisible by the number (36) 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 389408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610608240).

389408256 is an abundant number, since it is smaller than the sum of its proper divisors (831808224).

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

389408256 is a wasteful number, since it uses less digits than its factorization.

389408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 389408256 is about 19733.4299096736. The cubic root of 389408256 is about 730.2446518446.

The spelling of 389408256 in words is "three hundred eighty-nine million, four hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1657 1728 1836 2176 2304 2448 3264 3314 3456 3672 4352 4608 4896 4971 6528 6628 6912 7344 8704 9792 9942 13056 13256 13824 14688 14913 19584 19884 26112 26512 28169 29376 29826 39168 39768 44739 53024 56338 58752 59652 78336 79536 84507 89478 106048 112676 117504 119304 159072 169014 178956 212096 225352 235008 238608 253521 318144 338028 357912 424192 450704 477216 507042 636288 676056 715824 760563 848384 901408 954432 1014084 1272576 1352112 1431648 1521126 1802816 1908864 2028168 2545152 2704224 2863296 3042252 3605632 3817728 4056336 5408448 5726592 6084504 7211264 7635456 8112672 10816896 11453184 12169008 14422528 16225344 21633792 22906368 24338016 32450688 43267584 48676032 64901376 97352064 129802752 194704128 389408256