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4008052125 = 34537115397
BaseRepresentation
bin1110111011100110…
…0000010110011101
3101100022212010220000
43232321200112131
531202030132000
61501414244513
7201215611110
oct35671402635
911308763800
104008052125
111777493980
1293a356739
134bb4b079c
142a044c577
15186d16000
hexeee6059d

4008052125 has 320 divisors, whose sum is σ = 9589612032. Its totient is φ = 1617408000.

The previous prime is 4008052099. The next prime is 4008052127. The reversal of 4008052125 is 5212508004.

It is a happy number.

4008052125 is a `hidden beast` number, since 40 + 0 + 80 + 521 + 25 = 666.

It is not a de Polignac number, because 4008052125 - 29 = 4008051613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008052127) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41320077 + ... + 41320173.

Almost surely, 24008052125 is an apocalyptic number.

4008052125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4008052125 is an abundant number, since it is smaller than the sum of its proper divisors (5581559907).

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

4008052125 is a wasteful number, since it uses less digits than its factorization.

4008052125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4008052125 is about 63309.1788368796. The cubic root of 4008052125 is about 1588.4655006725.

The spelling of 4008052125 in words is "four billion, eight million, fifty-two thousand, one hundred twenty-five".