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2054053344 = 253723531237
BaseRepresentation
bin111101001101110…
…0101110111100000
312022011001201110210
41322123211313200
513201314201334
6535453254120
7101621110500
oct17233456740
95264051423
102054053344
11964506752
12493a94340
132697216a5
14156b29a00
15c04dd5e9
hex7a6e5de0

2054053344 has 144 divisors (see below), whose sum is σ = 6295051728. Its totient is φ = 584736768.

The previous prime is 2054053307. The next prime is 2054053367. The reversal of 2054053344 is 4433504502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659894 + ... + 1661130.

It is an arithmetic number, because the mean of its divisors is an integer number (43715637).

Almost surely, 22054053344 is an apocalyptic number.

2054053344 is a gapful number since it is divisible by the number (24) 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 2054053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147525864).

2054053344 is an abundant number, since it is smaller than the sum of its proper divisors (4240998384).

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

2054053344 is a wasteful number, since it uses less digits than its factorization.

2054053344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2054053344 is about 45321.6652827321. The cubic root of 2054053344 is about 1271.1707937684.

Adding to 2054053344 its reverse (4433504502), we get a palindrome (6487557846).

The spelling of 2054053344 in words is "two billion, fifty-four million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 353 392 588 672 706 784 1059 1176 1237 1412 1568 2118 2352 2471 2474 2824 3711 4236 4704 4942 4948 5648 7413 7422 8472 8659 9884 9896 11296 14826 14844 16944 17297 17318 19768 19792 25977 29652 29688 33888 34594 34636 39536 39584 51891 51954 59304 59376 60613 69188 69272 79072 103782 103908 118608 118752 121226 138376 138544 181839 207564 207816 237216 242452 276752 277088 363678 415128 415632 436661 484904 553504 727356 830256 831264 873322 969808 1309983 1454712 1660512 1746644 1939616 2619966 2909424 3056627 3493288 5239932 5818848 6113254 6986576 9169881 10479864 12226508 13973152 18339762 20959728 21396389 24453016 36679524 41919456 42792778 48906032 64189167 73359048 85585556 97812064 128378334 146718096 171171112 256756668 293436192 342342224 513513336 684684448 1027026672 2054053344