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2832228048 = 2431337612011
BaseRepresentation
bin1010100011010000…
…0101111011010000
321022101100002111010
42220310011323100
521300022244143
61145012250520
7130120353426
oct25064057320
97271302433
102832228048
11122379a941
12670610a40
13361a023b0
141cc213116
151189a3a33
hexa8d05ed0

2832228048 has 160 divisors (see below), whose sum is σ = 8229112192. Its totient is φ = 833587200.

The previous prime is 2832228041. The next prime is 2832228071. The reversal of 2832228048 is 8408222382.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2832227997 and 2832228015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832228041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407363 + ... + 1409373.

Almost surely, 22832228048 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 2832228048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114556096).

2832228048 is an abundant number, since it is smaller than the sum of its proper divisors (5396884144).

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

2832228048 is a wasteful number, since it uses less digits than its factorization.

2832228048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 2832228048 is about 53218.6813816352. The cubic root of 2832228048 is about 1414.8467660275.

The spelling of 2832228048 in words is "two billion, eight hundred thirty-two million, two hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 61 74 78 104 111 122 148 156 183 208 222 244 296 312 366 444 481 488 592 624 732 793 888 962 976 1443 1464 1586 1776 1924 2011 2257 2379 2886 2928 3172 3848 4022 4514 4758 5772 6033 6344 6771 7696 8044 9028 9516 11544 12066 12688 13542 16088 18056 19032 23088 24132 26143 27084 29341 32176 36112 38064 48264 52286 54168 58682 74407 78429 88023 96528 104572 108336 117364 122671 148814 156858 176046 209144 223221 234728 245342 297628 313716 352092 368013 418288 446442 469456 490684 595256 627432 704184 736026 892884 967291 981368 1190512 1254864 1408368 1472052 1594723 1785768 1934582 1962736 2901873 2944104 3189446 3571536 3869164 4538827 4784169 5803746 5888208 6378892 7738328 9077654 9568338 11607492 12757784 13616481 15476656 18155308 19136676 23214984 25515568 27232962 36310616 38273352 46429968 54465924 59004751 72621232 76546704 108931848 118009502 177014253 217863696 236019004 354028506 472038008 708057012 944076016 1416114024 2832228048