Search a number
-
+
1828204896 = 25372537333
BaseRepresentation
bin110110011111000…
…0011000101100000
311201102002102122110
41230332003011200
512221010024041
6501224435320
763206325300
oct15476030540
94642072573
101828204896
11858a79441
12430318b40
132319b6c5b
14134b39600
15aa77a516
hex6cf83160

1828204896 has 144 divisors (see below), whose sum is σ = 5688661104. Its totient is φ = 512418816.

The previous prime is 1828204853. The next prime is 1828204913. The reversal of 1828204896 is 6984028281.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 245646 + ... + 252978.

It is an arithmetic number, because the mean of its divisors is an integer number (39504591).

Almost surely, 21828204896 is an apocalyptic number.

1828204896 is a gapful number since it is divisible by the number (16) 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 1828204896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844330552).

1828204896 is an abundant number, since it is smaller than the sum of its proper divisors (3860456208).

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

1828204896 is a wasteful number, since it uses less digits than its factorization.

1828204896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 1828204896 is about 42757.5127433765. The cubic root of 1828204896 is about 1222.7611242087.

The spelling of 1828204896 in words is "one billion, eight hundred twenty-eight million, two hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 84 96 98 106 112 147 159 168 196 212 224 294 318 336 371 392 424 588 636 672 742 784 848 1113 1176 1272 1484 1568 1696 2226 2352 2544 2597 2968 4452 4704 5088 5194 5936 7333 7791 8904 10388 11872 14666 15582 17808 20776 21999 29332 31164 35616 41552 43998 51331 58664 62328 83104 87996 102662 117328 124656 153993 175992 205324 234656 249312 307986 351984 359317 388649 410648 615972 703968 718634 777298 821296 1077951 1165947 1231944 1437268 1554596 1642592 2155902 2331894 2463888 2720543 2874536 3109192 4311804 4663788 4927776 5441086 5749072 6218384 8161629 8623608 9327576 10882172 11498144 12436768 16323258 17247216 18655152 19043801 21764344 32646516 34494432 37310304 38087602 43528688 57131403 65293032 76175204 87057376 114262806 130586064 152350408 228525612 261172128 304700816 457051224 609401632 914102448 1828204896