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4000478625 = 36531113307
BaseRepresentation
bin1110111001110010…
…0111010110100001
3101022210121101000000
43232130213112201
531143110304000
61500544050213
7201064335663
oct35634472641
911283541000
104000478625
111773190890
12937903969
134b9a5b520
1429d43a533
1518631c000
hexee7275a1

4000478625 has 224 divisors, whose sum is σ = 8822765952. Its totient is φ = 1784592000.

The previous prime is 4000478617. The next prime is 4000478627. The reversal of 4000478625 is 5268740004.

It is not a de Polignac number, because 4000478625 - 23 = 4000478617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4000478625.

It is not an unprimeable number, because it can be changed into a prime (4000478627) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13030722 + ... + 13031028.

It is an arithmetic number, because the mean of its divisors is an integer number (39387348).

Almost surely, 24000478625 is an apocalyptic number.

4000478625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4000478625 is an abundant number, since it is smaller than the sum of its proper divisors (4822287327).

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

4000478625 is a wasteful number, since it uses less digits than its factorization.

4000478625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4000478625 is about 63249.3369530464. The cubic root of 4000478625 is about 1587.4643635954.

The spelling of 4000478625 in words is "four billion, four hundred seventy-eight thousand, six hundred twenty-five".