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2528984064 = 2103823237
BaseRepresentation
bin1001011010111101…
…0011110000000000
320112020201200221110
42112233103300000
520134404442224
61054540523320
7116446003245
oct22657236000
96466650843
102528984064
111088600182
125a6b50540
13313c39b99
1419dc375cc
15ec053929
hex96bd3c00

2528984064 has 44 divisors (see below), whose sum is σ = 6740672744. Its totient is φ = 842993664.

The previous prime is 2528984047. The next prime is 2528984111. The reversal of 2528984064 is 4604898252.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 408547 + ... + 414690.

Almost surely, 22528984064 is an apocalyptic number.

2528984064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2528984064 is an abundant number, since it is smaller than the sum of its proper divisors (4211688680).

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

2528984064 is an equidigital number, since it uses as much as digits as its factorization.

2528984064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823260 (or 823242 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 2528984064 is about 50289.0053987947. The cubic root of 2528984064 is about 1362.4336586277.

The spelling of 2528984064 in words is "two billion, five hundred twenty-eight million, nine hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 823237 1646474 2469711 3292948 4939422 6585896 9878844 13171792 19757688 26343584 39515376 52687168 79030752 105374336 158061504 210748672 316123008 421497344 632246016 842994688 1264492032 2528984064