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2082539568 = 243413732837
BaseRepresentation
bin111110000100001…
…0000100000110000
312101010122222020010
41330020100200300
513231112231233
6542352014520
7102415202634
oct17410204060
95333588203
102082539568
119795a288a
124a1531440
132725b6645
1415a822dc4
15c2c68b63
hex7c210830

2082539568 has 80 divisors (see below), whose sum is σ = 5527833696. Its totient is φ = 675194880.

The previous prime is 2082539567. The next prime is 2082539611. The reversal of 2082539568 is 8659352802.

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

It is not an unprimeable number, because it can be changed into a prime (2082539567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732646 + ... + 735482.

Almost surely, 22082539568 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 2082539568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763916848).

2082539568 is an abundant number, since it is smaller than the sum of its proper divisors (3445294128).

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

2082539568 is a wasteful number, since it uses less digits than its factorization.

2082539568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 2082539568 is about 45634.8503667975. The cubic root of 2082539568 is about 1277.0201614212.

The spelling of 2082539568 in words is "two billion, eighty-two million, five hundred thirty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 373 492 656 746 984 1119 1492 1968 2238 2837 2984 4476 5674 5968 8511 8952 11348 15293 17022 17904 22696 30586 34044 45392 45879 61172 68088 91758 116317 122344 136176 183516 232634 244688 348951 367032 465268 697902 734064 930536 1058201 1395804 1861072 2116402 2791608 3174603 4232804 5583216 6349206 8465608 12698412 16931216 25396824 43386241 50793648 86772482 130158723 173544964 260317446 347089928 520634892 694179856 1041269784 2082539568