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2832150528 = 2123325609
BaseRepresentation
bin1010100011001111…
…0011000000000000
321022101012011011000
42220303303000000
521300012304103
61145010452000
7130116611424
oct25063630000
97271164130
102832150528
111223747679
12670594000
133619a601c
141cc1d2b84
1511898aaa3
hexa8cf3000

2832150528 has 104 divisors (see below), whose sum is σ = 8390860400. Its totient is φ = 944013312.

The previous prime is 2832150523. The next prime is 2832150539. The reversal of 2832150528 is 8250512382.

2832150528 is a `hidden beast` number, since 2 + 83 + 2 + 1 + 50 + 528 = 666.

It is a super-2 number, since 2×28321505282 = 16042153226501357568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2832150492 and 2832150501.

It is not an unprimeable number, because it can be changed into a prime (2832150523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97788 + ... + 123396.

It is an arithmetic number, because the mean of its divisors is an integer number (80681350).

Almost surely, 22832150528 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 2832150528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195430200).

2832150528 is an abundant number, since it is smaller than the sum of its proper divisors (5558709872).

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

2832150528 is an equidigital number, since it uses as much as digits as its factorization.

2832150528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25642 (or 25614 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2832150528 is about 53217.9530609737. The cubic root of 2832150528 is about 1414.8338574716.

The spelling of 2832150528 in words is "two billion, eight hundred thirty-two million, one hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13824 18432 25609 27648 36864 51218 55296 76827 102436 110592 153654 204872 230481 307308 409744 460962 614616 691443 819488 921924 1229232 1382886 1638976 1843848 2458464 2765772 3277952 3687696 4916928 5531544 6555904 7375392 9833856 11063088 13111808 14750784 19667712 22126176 26223616 29501568 39335424 44252352 52447232 59003136 78670848 88504704 104894464 118006272 157341696 177009408 236012544 314683392 354018816 472025088 708037632 944050176 1416075264 2832150528