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2048904 = 23321113199
BaseRepresentation
bin111110100001110001000
310212002120100
413310032020
51011031104
6111525400
723262324
oct7641610
93762510
102048904
11117a410
12829860
13569790
143b4984
152a7139
hex1f4388

2048904 has 96 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 570240.

The previous prime is 2048897. The next prime is 2048911. The reversal of 2048904 is 4098402.

2048904 = T32 + T33 + ... + T230.

It is an interprime number because it is at equal distance from previous prime (2048897) and next prime (2048911).

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, 10197 + ... + 10395.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

22048904 is an apocalyptic number.

2048904 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 2048904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2048904 is an abundant number, since it is smaller than the sum of its proper divisors (4503096).

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

2048904 is a wasteful number, since it uses less digits than its factorization.

2048904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2048904 is about 1431.3993153554. The cubic root of 2048904 is about 127.0107664421.

The spelling of 2048904 in words is "two million, forty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 199 234 264 286 312 396 398 429 468 572 597 792 796 858 936 1144 1194 1287 1592 1716 1791 2189 2388 2574 2587 3432 3582 4378 4776 5148 5174 6567 7164 7761 8756 10296 10348 13134 14328 15522 17512 19701 20696 23283 26268 28457 31044 39402 46566 52536 56914 62088 78804 85371 93132 113828 157608 170742 186264 227656 256113 341484 512226 682968 1024452 2048904