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1804890256 = 24132192432
BaseRepresentation
bin110101110010100…
…0111000010010000
311122210012220222021
41223211013002100
512144022442011
6455033021224
762504212501
oct15345070220
94583186867
101804890256
118468a4844
12424554814
13229c12c00
141319caba8
15a86c2471
hex6b947090

1804890256 has 135 divisors (see below), whose sum is σ = 4091554809. Its totient is φ = 770829696.

The previous prime is 1804890239. The next prime is 1804890271. The reversal of 1804890256 is 6520984081.

It is a happy number.

The square root of 1804890256 is 42484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 266995600 + 1537894656 = 16340^2 + 39216^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 41974171 + ... + 41974213.

Almost surely, 21804890256 is an apocalyptic number.

1804890256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1804890256 is the 42484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1804890256

1804890256 is an abundant number, since it is smaller than the sum of its proper divisors (2286664553).

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

1804890256 is a wasteful number, since it uses less digits than its factorization.

1804890256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The cubic root of 1804890256 is about 1217.5410150243.

The spelling of 1804890256 in words is "one billion, eight hundred four million, eight hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 169 172 208 247 304 338 344 361 494 559 676 688 722 817 988 1118 1352 1444 1634 1849 1976 2236 2704 2888 3211 3268 3698 3952 4472 4693 5776 6422 6536 7267 7396 8944 9386 10621 12844 13072 14534 14792 15523 18772 21242 24037 25688 29068 29584 31046 35131 37544 42484 48074 51376 58136 61009 62092 70262 75088 84968 96148 116272 122018 124184 138073 140524 169936 192296 201799 244036 248368 276146 281048 312481 384592 403598 456703 488072 552292 562096 624962 667489 807196 913406 976144 1104584 1249924 1334978 1614392 1826812 2209168 2499848 2623387 2669956 3228784 3653624 4999696 5246774 5339912 5937139 7307248 8677357 10493548 10679824 11874278 17354714 20987096 23748556 34709428 41974192 47497112 69418856 94994224 112805641 138837712 225611282 451222564 902445128 1804890256