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4290479424 = 263271196737
BaseRepresentation
bin1111111110111011…
…1000010101000000
3102002000021221022100
43333232320111000
532241330320144
61545423510400
7211215321240
oct37756702500
912060257270
104290479424
111901955770
129b8a58400
13534b67c2a
142c9b69b20
151a1a03269
hexffbb8540

4290479424 has 168 divisors, whose sum is σ = 15332586048. Its totient is φ = 1114398720.

The previous prime is 4290479419. The next prime is 4290479429. The reversal of 4290479424 is 4249740924.

It is an interprime number because it is at equal distance from previous prime (4290479419) and next prime (4290479429).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4290479424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290479429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4017 + ... + 92720.

Almost surely, 24290479424 is an apocalyptic number.

4290479424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4290479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666293024).

4290479424 is an abundant number, since it is smaller than the sum of its proper divisors (11042106624).

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

4290479424 is a wasteful number, since it uses less digits than its factorization.

4290479424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96773 (or 96760 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4290479424 is about 65501.7513048315. The cubic root of 4290479424 is about 1624.9323110582.

The spelling of 4290479424 in words is "four billion, two hundred ninety million, four hundred seventy-nine thousand, four hundred twenty-four".