Search a number
-
+
4053695625 = 365473141
BaseRepresentation
bin1111000110011110…
…0111110010001001
3101110111202002000000
43301213213302021
531300221230000
61510124433213
7202311562410
oct36147476211
911414662000
104053695625
1117a0229581
129516a8809
134c7aa1c85
142a6530477
1518ad30000
hexf19e7c89

4053695625 has 280 divisors, whose sum is σ = 9178262016. Its totient is φ = 1749600000.

The previous prime is 4053695623. The next prime is 4053695627. The reversal of 4053695625 is 5265963504.

4053695625 is a `hidden beast` number, since 4 + 0 + 536 + 95 + 6 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (4053695623) and next prime (4053695627).

It is not a de Polignac number, because 4053695625 - 21 = 4053695623 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053695623) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 98870605 + ... + 98870645.

Almost surely, 24053695625 is an apocalyptic number.

4053695625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4053695625 is an abundant number, since it is smaller than the sum of its proper divisors (5124566391).

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

4053695625 is an frugal number, since it uses more digits than its factorization.

4053695625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 4053695625 is about 63668.6392582722. The cubic root of 4053695625 is about 1594.4725443493.

It can be divided in two parts, 40536 and 95625, that added together give a square (136161 = 3692).

The spelling of 4053695625 in words is "four billion, fifty-three million, six hundred ninety-five thousand, six hundred twenty-five".