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2153552256 = 27321869403
BaseRepresentation
bin1000000001011100…
…1001100110000000
312120002021210022200
42000113021212000
513402302133011
6553410033200
7104236615002
oct20027114600
95502253280
102153552256
11a05695759
12501278800
1328421b09b
1416602a372
15c90e4856
hex805c9980

2153552256 has 48 divisors (see below), whose sum is σ = 6197074260. Its totient is φ = 717850368.

The previous prime is 2153552249. The next prime is 2153552263. The reversal of 2153552256 is 6522553512.

2153552256 is a `hidden beast` number, since 2 + 1 + 53 + 552 + 2 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (2153552249) and next prime (2153552263).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2153552256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 933550 + ... + 935853.

Almost surely, 22153552256 is an apocalyptic number.

It is an amenable number.

2153552256 is an abundant number, since it is smaller than the sum of its proper divisors (4043522004).

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

2153552256 is a wasteful number, since it uses less digits than its factorization.

2153552256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869423 (or 1869408 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 2153552256 is about 46406.3816301163. The cubic root of 2153552256 is about 1291.3733058330.

The spelling of 2153552256 in words is "two billion, one hundred fifty-three million, five hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1869403 3738806 5608209 7477612 11216418 14955224 16824627 22432836 29910448 33649254 44865672 59820896 67298508 89731344 119641792 134597016 179462688 239283584 269194032 358925376 538388064 717850752 1076776128 2153552256