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4132125288 = 233273786173
BaseRepresentation
bin1111011001001011…
…0011101001101000
3101122222022201021100
43312102303221220
531430311002123
61522005441400
7204253325334
oct36622635150
911588281240
104132125288
111830527985
12973a10260
1350b102665
142b2b087c4
15192b73643
hexf64b3a68

4132125288 has 48 divisors (see below), whose sum is σ = 11344490820. Its totient is φ = 1358505216.

The previous prime is 4132125269. The next prime is 4132125307. The reversal of 4132125288 is 8825212314.

It is a happy number.

4132125288 is a `hidden beast` number, since 4 + 1 + 321 + 252 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (4132125269) and next prime (4132125307).

It can be written as a sum of positive squares in 2 ways, for example, as 4039619364 + 92505924 = 63558^2 + 9618^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 387831 + ... + 398342.

Almost surely, 24132125288 is an apocalyptic number.

It is an amenable number.

4132125288 is an abundant number, since it is smaller than the sum of its proper divisors (7212365532).

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

4132125288 is a wasteful number, since it uses less digits than its factorization.

4132125288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786258 (or 786251 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4132125288 is about 64281.6092517914. The cubic root of 4132125288 is about 1604.6900522399.

The spelling of 4132125288 in words is "four billion, one hundred thirty-two million, one hundred twenty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 786173 1572346 2358519 3144692 4717038 6289384 7075557 9434076 14151114 18868152 28302228 56604456 57390629 114781258 172171887 229562516 344343774 459125032 516515661 688687548 1033031322 1377375096 2066062644 4132125288