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7872764040 = 2332521868789
BaseRepresentation
bin1110101010100000…
…01101100010001000
3202022122222211222100
413111100031202020
5112110411422130
63341112353400
7366044250561
oct72520154210
922278884870
107872764040
11337aa74169
1216386a5860
1398608477b
14549827168
15311265c60
hex1d540d888

7872764040 has 48 divisors (see below), whose sum is σ = 25586484300. Its totient is φ = 2099403648.

The previous prime is 7872764033. The next prime is 7872764069. The reversal of 7872764040 is 404672787.

It can be written as a sum of positive squares in 2 ways, for example, as 7757029476 + 115734564 = 88074^2 + 10758^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10934035 + ... + 10934754.

Almost surely, 27872764040 is an apocalyptic number.

It is an amenable number.

7872764040 is an abundant number, since it is smaller than the sum of its proper divisors (17713720260).

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

7872764040 is a wasteful number, since it uses less digits than its factorization.

7872764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21868806 (or 21868799 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 7872764040 is about 88728.5976447278. The cubic root of 7872764040 is about 1989.3402895580.

The spelling of 7872764040 in words is "seven billion, eight hundred seventy-two million, seven hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 21868789 43737578 65606367 87475156 109343945 131212734 174950312 196819101 218687890 262425468 328031835 393638202 437375780 524850936 656063670 787276404 874751560 984095505 1312127340 1574552808 1968191010 2624254680 3936382020 7872764040