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2054393856 = 21232232423
BaseRepresentation
bin111101001110011…
…1001000000000000
312022011201000120100
41322130321000000
513201411100411
6535504442400
7101624026314
oct17234710000
95264630510
102054393856
11964719569
12494019400
13269810688
14156bb7b44
15c0559456
hex7a739000

2054393856 has 156 divisors (see below), whose sum is σ = 6194755008. Its totient is φ = 654753792.

The previous prime is 2054393851. The next prime is 2054393863. The reversal of 2054393856 is 6583934502.

2054393856 is a `hidden beast` number, since 20 + 543 + 9 + 3 + 85 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054393851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 846661 + ... + 849083.

It is an arithmetic number, because the mean of its divisors is an integer number (39709968).

Almost surely, 22054393856 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 2054393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097377504).

2054393856 is an abundant number, since it is smaller than the sum of its proper divisors (4140361152).

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

2054393856 is a wasteful number, since it uses less digits than its factorization.

2054393856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2054393856 is about 45325.4217410053. The cubic root of 2054393856 is about 1271.2410329362.

The spelling of 2054393856 in words is "two billion, fifty-four million, three hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2048 2208 2304 2423 2944 3072 3312 4096 4416 4608 4846 5888 6144 6624 7269 8832 9216 9692 11776 12288 13248 14538 17664 18432 19384 21807 23552 26496 29076 35328 36864 38768 43614 47104 52992 55729 58152 70656 77536 87228 94208 105984 111458 116304 141312 155072 167187 174456 211968 222916 232608 282624 310144 334374 348912 423936 445832 465216 501561 620288 668748 697824 847872 891664 930432 1003122 1240576 1337496 1395648 1783328 1860864 2006244 2481152 2674992 2791296 3566656 3721728 4012488 4962304 5349984 5582592 7133312 7443456 8024976 9924608 10699968 11165184 14266624 14886912 16049952 21399936 22330368 28533248 29773824 32099904 42799872 44660736 57066496 64199808 85599744 89321472 114132992 128399616 171199488 228265984 256799232 342398976 513598464 684797952 1027196928 2054393856