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3829045428 = 223213231272801
BaseRepresentation
bin1110010000111010…
…1001100010110100
3100212212000122212100
43210032221202310
530320213423203
61431541422100
7163613230515
oct34416514264
910785018770
103829045428
11169543a55a
128aa40a930
13490396a70
14284772a0c
15176256ea3
hexe43a98b4

3829045428 has 144 divisors (see below), whose sum is σ = 10966265856. Its totient is φ = 1117670400.

The previous prime is 3829045393. The next prime is 3829045459. The reversal of 3829045428 is 8245409283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365628 + ... + 1368428.

It is an arithmetic number, because the mean of its divisors is an integer number (76154624).

Almost surely, 23829045428 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 3829045428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483132928).

3829045428 is an abundant number, since it is smaller than the sum of its proper divisors (7137220428).

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

3829045428 is a wasteful number, since it uses less digits than its factorization.

3829045428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3829045428 is about 61879.2810882609. The cubic root of 3829045428 is about 1564.4565514338.

The spelling of 3829045428 in words is "three billion, eight hundred twenty-nine million, forty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 127 138 156 207 234 254 276 299 381 414 468 508 598 762 828 897 1143 1196 1524 1651 1794 2286 2691 2801 2921 3302 3588 4572 4953 5382 5602 5842 6604 8403 8763 9906 10764 11204 11684 14859 16806 17526 19812 25209 26289 29718 33612 35052 36413 37973 50418 52578 59436 64423 72826 75946 100836 105156 109239 113919 128846 145652 151892 193269 218478 227838 257692 327717 341757 355727 386538 436956 455676 579807 655434 683514 711454 773076 837499 1067181 1159614 1310868 1367028 1422908 1674998 2134362 2319228 2512497 3201543 3349996 4268724 4624451 5024994 6403086 7537491 8181721 9248902 10049988 12806172 13873353 15074982 16363442 18497804 24545163 27746706 30149964 32726884 41620059 49090326 55493412 73635489 83240118 98180652 106362373 147270978 166480236 212724746 294541956 319087119 425449492 638174238 957261357 1276348476 1914522714 3829045428