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4000825505 = 523711573121
BaseRepresentation
bin1110111001110111…
…1100000010100001
3101022211020222211102
43232131330002201
531143202404010
61500555324145
7201100312205
oct35635740241
911284228742
104000825505
1117733a8466
12937a50655
134b9b50391
1429d4cab05
15186389ba5
hexee77c0a1

4000825505 has 32 divisors (see below), whose sum is σ = 5114285568. Its totient is φ = 2998195200.

The previous prime is 4000825481. The next prime is 4000825531. The reversal of 4000825505 is 5055280004.

It is a de Polignac number, because none of the positive numbers 2k-4000825505 is a prime.

It is a Duffinian number.

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 31 ways as a sum of consecutive naturals, for example, 1280345 + ... + 1283465.

It is an arithmetic number, because the mean of its divisors is an integer number (159821424).

Almost surely, 24000825505 is an apocalyptic number.

It is an amenable number.

4000825505 is a deficient number, since it is larger than the sum of its proper divisors (1113460063).

4000825505 is a wasteful number, since it uses less digits than its factorization.

4000825505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377.

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 4000825505 is about 63252.0790567393. The cubic root of 4000825505 is about 1587.5102450824.

The spelling of 4000825505 in words is "four billion, eight hundred twenty-five thousand, five hundred five".

Divisors: 1 5 23 71 115 157 355 785 1633 3121 3611 8165 11147 15605 18055 55735 71783 221591 256381 358915 489997 1107955 1281905 2449985 5096593 11269931 25482965 34789787 56349655 173948935 800165101 4000825505