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832042540 = 2257417327
BaseRepresentation
bin110001100101111…
…111011000101100
32010222122010210101
4301211333120230
53201000330130
6214321320444
726422150000
oct6145773054
92128563711
10832042540
1139773696a
121b2796124
131034c1784
147c70a700
154d0a61ca
hex3197f62c

832042540 has 60 divisors (see below), whose sum is σ = 2038500576. Its totient is φ = 285255264.

The previous prime is 832042537. The next prime is 832042559. The reversal of 832042540 is 45240238.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 832042499 and 832042508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39357 + ... + 56683.

Almost surely, 2832042540 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 832042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019250288).

832042540 is an abundant number, since it is smaller than the sum of its proper divisors (1206458036).

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

832042540 is a wasteful number, since it uses less digits than its factorization.

832042540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17364 (or 17341 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 832042540 is about 28845.1475988597. The cubic root of 832042540 is about 940.5499045872.

Adding to 832042540 its reverse (45240238), we get a palindrome (877282778).

The spelling of 832042540 in words is "eight hundred thirty-two million, forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 17327 24010 34654 48020 69308 86635 121289 173270 242578 346540 485156 606445 849023 1212890 1698046 2425780 3396092 4245115 5943161 8490230 11886322 16980460 23772644 29715805 41602127 59431610 83204254 118863220 166408508 208010635 416021270 832042540